88 results on '"Dik, Mehmet"'
Search Results
2. Extended Tauberian conditions for summability method
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Totur, Ümi̇t and Di̇k, Mehmet
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TAUBERIAN theorems , *SUMMABILITY theory , *OSCILLATION theory of differential equations , *MATHEMATICAL sequences , *MATHEMATICAL analysis - Abstract
Abstract: In this paper, we introduce some new Tauberian-like conditions to retrieve slow oscillation of a real sequence out of summability of its generator sequence. [ABSTRACT FROM AUTHOR]
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- 2011
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3. Some conditions under which subsequential convergence follows from boundedness
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C̣anak, İbrahim and Dik, Mehmet
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REAL numbers , *COMPLEX numbers , *MATHEMATICS , *UNIVERSAL algebra - Abstract
Abstract: Let be a sequence of real numbers. We obtain some Tauberian-like conditions in terms of the general control modulo of integer order to retrieve subsequential convergence of from the boundedness of . [Copyright &y& Elsevier]
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- 2008
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4. Applications of subsequential Tauberian theory to classical Tauberian theory
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Dik, Filiz, Dik, Mehmet, and Çanak, İbrahim
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TAUBERIAN theorems , *MATHEMATICAL sequences , *STOCHASTIC convergence , *FUNCTIONS of bounded variation - Abstract
Abstract: In this work, we introduce some classical and neoclassical Tauberian-like conditions to retrieve subsequential convergence of a real sequence and some other sequences related to it out of the boundedness of the sequence . Consequently we obtain significant information about subsequential behavior of the sequence. [Copyright &y& Elsevier]
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- 2007
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5. Conditions for convergence and subsequential convergence
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Çanak, İbrahim, Dik, Mehmet, and Dik, Filiz
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STOCHASTIC convergence , *MATHEMATICAL functions , *MATHEMATICS problems & exercises , *MATHEMATICS - Abstract
Abstract: Let be a sequence, regularly generated by another sequence where either or is slowly oscillating. We investigate conditions under which the sequence converges or converges subsequentially. [Copyright &y& Elsevier]
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- 2006
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6. Some one-sided conditions under which subsequential convergence follows from summability method
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Totur, Ümit, Çanak, İbrahim, and Dik, Mehmet
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STOCHASTIC convergence , *SUMMABILITY theory , *OSCILLATIONS , *OPERATOR theory , *MATHEMATICAL sequences , *MATHEMATICAL analysis - Abstract
Abstract: In this paper, we introduce some conditions to recover subsequential convergence of an summable sequence which is one-sidedly bounded by another sequence. [Copyright &y& Elsevier]
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- 2011
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7. Δ-quasi-slowly oscillating continuity
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Çakallı, Hüseyin, Çanak, İbrahim, and Dik, Mehmet
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OSCILLATIONS , *CONTINUITY , *MATHEMATICAL sequences , *NUMERICAL analysis , *MATHEMATICAL statistics - Abstract
Abstract: In this paper, a new concept of Δ-quasi-slowly oscillating continuity is introduced. Furthermore, it is shown that this kind of continuity implies ordinary continuity. A new type of compactness is also defined and some new results related to compactness are proved. [Copyright &y& Elsevier]
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- 2010
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8. One-sided Tauberian conditions for summability method
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Çanak, İbrahim, Totur, Ümit, and Dik, Mehmet
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TAUBERIAN theorems , *SUMMABILITY theory , *OSCILLATIONS , *MODULES (Algebra) , *INFINITE series (Mathematics) , *MATHEMATICAL sequences , *MATHEMATICAL analysis - Abstract
Abstract: In this paper, some one-sided Tauberian conditions for summability method have been obtained. [Copyright &y& Elsevier]
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- 2010
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9. Subsequential Convergence Conditions.
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Çanak, Ibrahim, Totur, Ümit, and Dik, Mehmet
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OSCILLATION theory of difference equations , *STOCHASTIC convergence , *ACCELERATION of convergence in numerical analysis , *SEQUENTIAL analysis , *TAUBERIAN theorems , *INFINITE series (Mathematics) , *ABEL integral equations , *VOLTERRA equations , *MATHEMATICAL research - Abstract
The article presents a research on subsequential convergence conditions. The research used various definition of slow oscillation for the study's purposes. It proved the assumptions that if a sequence or its generator sequence gathered regularly by sequence in a class of sequences. To obtain the research's result, the Kronecker identity, a known equation and commonly used in various steps of proofs of theorems, was used. It also used the Tauberian theorem, or Tauberian condition for Abel limitable method.
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- 2007
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10. Hyperbolic-trigonometric tension B-spline Galerkin approach for the solution of RLW equation.
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Dag, Idris, Hepson, Ozlem Ersoy, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
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NONLINEAR equations , *ORDINARY differential equations , *GALERKIN methods , *FINITE element method , *EQUATIONS , *SPLINE theory , *TRIGONOMETRIC functions - Abstract
A numerical approach is defined to get the solution of the regularized long wave (RLW) equation. The hyperbolic- trigonometric tension (HTT) B-spline is adapted as a trial function to the Galerkin method. Space integration of the RLW equation is managed trough HTT B-spline Galerkin method over the finite elements. Resulting system of ordinary differential equations is integrated using the Crank Nicolson technique. Thus RLW equation is fully integrated into system of nonlinear algebraic equations. Solution of this system gives the approximate solution of the RLW equation over the given problem domain. [ABSTRACT FROM AUTHOR]
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- 2020
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11. Maximal inequalities with exponential decay under weak dependence conditions.
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Boukhari, Fakhreddine, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
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MAXIMAL functions , *RANDOM variables , *LARGE deviations (Mathematics) , *LAW of large numbers , *DEPENDENT variables , *LOGARITHMS - Abstract
We establish large deviation inequalities with exponential decay for the maximum of partial sums of subgaussian random variables. Applying our result to acceptable sequences of bounded mean zero random variables, we strengthen a well-known inequality of Hoeffding. As a consequence we prove a bounded law of iterated logarithm for this class of random variables. The obtained method, also allows us to state a strong integrability property for weighted series of negatively dependent random variables. [ABSTRACT FROM AUTHOR]
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- 2020
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12. Hyperbolic-trigonometric tension B-spline Galerkin approach for the solution of Fisher equation.
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Dag, Idris, Hepson, Ozlem Ersoy, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
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HYPERBOLIC differential equations , *CRANK-nicolson method , *FINITE element method , *GALERKIN methods , *EQUATIONS - Abstract
A Galerkin finite element method is constructed for computing solution of the Fisher equation. Hyperbolic-trigonometric tension (HTT) B-splines are used as weight and shape functions in the Galerkin approach. Fully discretization of the Fisher equation is fulfilled via Crank-Nicolson method in time and Galerkin method in space. Travelling wave front solution is studied to show robustness of the presented scheme on Fisher equation. The numerical results obtained with the present method are satisfactory with regard to its accuracy. [ABSTRACT FROM AUTHOR]
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- 2020
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13. Modifying fractal image compression technique by hybridation of crowding genetic algorithm and scattered method.
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Al-Bundi, Shaimaa S., AL-Jubouri, Karrar Q., Al-Saidi, Nadia M. G., Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, and Onvural, Oruc Raif
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IMAGE compression , *GENETIC algorithms , *SEARCH algorithms , *METAHEURISTIC algorithms - Abstract
Fractal image coding is one of the active techniques for image compression. It always motivates for designing efficient algorithms to optimize the search space and reduce computation efforts, which is the main disadvantage of this technique. Hybridizing the metaheuristic methods has a vital interest in the optimization field. In this work, an intelligent search technique based on combining of crowding genetic and scattered search methods is proposed, in which the essential steps (generating a collection of diverse trial solutions, and the combined solutions method) in scattered search replaced by the two essential steps (the recombination and the mutation) in crowding method. Satisfactory results in reducing the computation cost of the fractal image compression technique are obtained. [ABSTRACT FROM AUTHOR]
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- 2020
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14. Marshal Olkin Marshal Olkin gompertz distribution.
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Al-Noor, Nadia Hashim, Khaleel, Mundher A., Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
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DISTRIBUTION (Probability theory) , *MAXIMUM likelihood statistics - Abstract
The aim of this paper is to propose a new flexible compound distribution named Marshal Olkin Marshal Olkin Gompertz (MOMOGo) distribution. Reliability characteristics besides several statistical properties of the proposed distribution have discussed. The maximum likelihood method, under a complete sample, is used to estimate the distribution parameters. Furthermore, two real data sets are considered to investigate the applicability of the proposed MOMOGo distribution. [ABSTRACT FROM AUTHOR]
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- 2020
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15. Rayleigh Gamma gompertz distribution: Properties and applications.
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Al-Noor, Nadia Hashim, Assi, Noor Kareem, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
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DISTRIBUTION (Probability theory) , *GAMMA distributions , *CHARACTERISTIC functions , *MAXIMUM likelihood statistics , *WEIBULL distribution - Abstract
In this paper, Rayleigh Gamma Gompertz (RGGom), as a new compound distribution, is introduced. Various fundamental statistical properties of RGGom distribution, including explicit expressions for the non-central rth moment, characteristic function, quantile function and simulated data, Shannon and relative entropies, and reliability stress strength model, were studied and inspected. The unknown parameters of RGGom have been estimated using the estimation method of maximum likelihood. Furthermore, the RGGom distribution is applied upon a simulation study and two real-life data sets to assess its usefulness and flexibility. [ABSTRACT FROM AUTHOR]
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- 2020
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16. A new design of NTRU encryption with high security and performance level.
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Yassein, Hassan R., Abidalzahra, Asia A., Al-Saidi, Nadia M., Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, and Onvural, Oruc Raif
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QUATERNIONS , *ALGEBRA , *RSA algorithm , *SECURITY management - Abstract
A multi-dimensional QTRU public-key cryptosystem improves NTRU by replacing the original ring in NTRU by quaternion algebra. In this paper, we introduce QMNTR an improvement of QTRU by using a new mathematical structure of two public keys and five private keys. This modification has enhanced the public key system to be more robust and secure. [ABSTRACT FROM AUTHOR]
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- 2020
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17. Dirac algebra of reduced chiral oscillator.
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Uçgun, Filiz Çağatay, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
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CONSTRAINT algorithms , *ALGEBRA - Abstract
Second order degenerate Chiral oscillator Lagrangian is reduced into first order Lagrangian and Hamiltonian analysis of this formalism is performed by means of the DiracBergmann constraint algorithm. [ABSTRACT FROM AUTHOR]
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- 2020
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18. Implicit method of high accuracy on hexagonal grids for approximating the solution to heat equation on rectangle.
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Buranay, Suzan C., Arshad, Nouman, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
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HEAT equation , *BOUNDARY value problems - Abstract
A two layer Implicit method on hexagonal grids is proposed for approximating the solution to first type boundary value problem of heat equation on rectangle. It is proven that the given implicit scheme is unconditionally stable and converges to the exact solution on the grids of order O (h 4 + τ 2) where, h and 3 2 h are the step sizes in space variables x1 and x2 respectively and τ is the step size in time. The method is applied on a test results. [ABSTRACT FROM AUTHOR]
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- 2020
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19. A new approach for the characteristic polynomial of a complete tripartite graph.
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Alwan, Nawras A., Al-Saidi, Nadia M. G., Abdulaa, Wael J., Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, and Onvural, Oruc Raif
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COMPLETE graphs , *POLYNOMIALS , *MOLECULAR orbitals , *MOLECULES , *COMPUTATIONAL complexity , *TRIANGULARIZATION (Mathematics) - Abstract
The case k = 3 of a complete k-partite graph is called a complete tripartite graph Tp,q,r. It is a graph that its vertices are decomposed into three disjoint sets such that, no two graph vertices within the same set are adjacent. It has recently attracted much attention due to its important in several applications, especially, in chemistry where some of the molecular orbital compounds are correspondents to the tripartite graph structure. One method of capturing graph structure is through computing of the characteristic polynomial for the matrix characterization M of a graph, which is defined as the determinant | λI – M | where I is the identity matrix and λ is the variable of the polynomial. The general technique of the characteristic polynomials evaluation of graphs with large number of vertices is considered as an extremely tiresome problem when it is based on matrix, because its computational complexity is high. In this paper, a new approach for the characteristic polynomial of a complete tripartite graph Ti,i,n−2i, for n ≥ 4, based on the adjacency matrix is introduced. It shows good efficiency because it reduces the complexity and the difficulty of computation in comparing to some well-known methods especially, for the graphs with large number of vertices. [ABSTRACT FROM AUTHOR]
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- 2020
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20. A numerical study of a first order modular grad-div stabilization for the magnetohydrodynamics equations.
- Author
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Akbas, Mine, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
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MAGNETIC fields , *EQUATIONS , *ANALYTICAL solutions - Abstract
This paper proposes a stabilization method to approximate analytical solutions of magnetohydrodynamics (MHD) equations. The method adds two modular grad-div steps into fully-discrete finite element MHD solver. The main idea in these intrusive steps is to penalize the divergence of the velocity/magnetic fields both in L2 and H1-norms. The paper confirms the optimal convergence of the method, and gives numerical experiments which reveal positive effect of the method as in the usual grad-div stabilization. [ABSTRACT FROM AUTHOR]
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- 2020
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21. Low-code application platform in meeting increasing software demands quickly: SetXRM.
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Sahinaslan, Ender, Sahinaslan, Onder, Sabancıoglu, Mehmet, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, and Onvural, Oruc Raif
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COVID-19 pandemic , *DIGITAL technology , *APPLICATION software , *COMPUTER software development , *TELECOMMUTING - Abstract
The dependence on technology, digital transformation and the need to work remotely are increasing day by day. It is predicted to increase further after this COVID-19 pandemic. The desire to digitize every object also leads to the need to develop or update many application software. It is very difficult with traditional software development methods to produce flexible solutions to such dynamic and changing demands on time. At the same time, there are problems such as finding qualified human resources and high cost in writing and updating corporate program codes that can be considered complex on a large scale. Low-code software development platforms provide solutions for such problems. These platforms aim to produce flexible and less costly programs in a shorter time by using drag-and-drop components through visual interfaces without requiring deep programming knowledge. This study is based on the examination of the SetXRM platform, which is one of the new generation low-code applications that helps to produce more flexible and short-term solutions to the increasing software needs of the enterprise. [ABSTRACT FROM AUTHOR]
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- 2020
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22. Classification of fake news using multi-layer perceptron.
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Jehad, Reham, Yousif, Suhad A., Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
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FAKE news , *CLASSIFICATION , *FEATURE extraction , *SOCIAL media , *BLOGS - Abstract
"Fake News (FNs) is defined as a made-up story to deceive or to mislead." The problem of FNs spread widely in recent years, especially on social media such as Facebook, Twitter, and other sources like webs and blogs. It has become a significant problem in society as a result of changing people's ideas and opinions about the direction of this news. In this paper, FNs detection can be proposed by using the Term Frequency-Inverse Document Frequency (TF-IDF) as features extraction, and Multi-Layer perceptron (MLP) algorithm as a classifier. Two phases (feed-forward and back-propagation) are used with a three-layers, which are (input layer, one hidden layer, and output layer). After running our proposed algorithm on a FNs dataset, the classification accuracy achieved equals 95.47%. [ABSTRACT FROM AUTHOR]
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- 2020
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23. Canopy with k-means clustering algorithm for big data analytics.
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Sagheer, Noor S., Yousif, Suhad A., Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
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K-means clustering , *ELECTRONIC data processing , *BIG data , *MACHINE learning , *DISTRIBUTED algorithms , *CENTROID - Abstract
Recently, Big Data is gathered from various sources in different types, and it is not easy to analyze them by traditional methods. Apache Hadoop is a robust solution to the problems of saving and processing large datasets by providing HDFS (Hadoop Distributed File System) and MapReduce for storing and processing data. One of the essential methods for analyzing big data to discover new patterns is the clustering algorithms. In this paper, we have used the canopy clustering algorithm provided by Distributed Machine Learning with Apache Mahout as preprocessing step for the k-means clustering algorithm. The results showed that using Canopy as a preprocessing step has sped up the time of managing the massive scale of the healthcare insurance dataset, and it also reduces the execution time of the k-means by providing initial centroids for the given dataset. [ABSTRACT FROM AUTHOR]
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- 2020
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24. An ab initio and DFT study of structure and conformers of glycerol.
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Navini, Nasim Yousefpour, Shojaei, S. H. Reza, Uyaver, Sahin, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
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ELECTRIC dipole moments , *BAND gaps , *GROUND state energy , *INVERSE relationships (Mathematics) , *GLYCERIN - Abstract
In this paper, the effect of the simultaneous rotation of two different groups, hydroxyl (OH) and hydroxymethyl (CH2OH) groups, on the basic properties of Glycerol are comprehensively studied. Relative energies are reported at the HF/ aug-cc-pVDZ, b3lyp/ aug-cc-pVDZ levels with corrections for zero-point vibrational energies. Structural parameters, Electric Dipole Moment and HOMO-LUMO energy gap of the identified conformers are also tabled. An inverse correlation between the relative energy and HOMO-LUMO energy gap is seen. [ABSTRACT FROM AUTHOR]
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- 2020
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25. Prediction diabetic retinopathy from retinal fundus images via artificial neural network.
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Yenikaya, M. Akif, Güvenoğlu, Erdal, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
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ARTIFICIAL neural networks , *DIABETIC retinopathy , *RETINAL imaging , *PEOPLE with diabetes , *ARTIFICIAL intelligence - Abstract
Diabetic Retinopathy (DR) is a vascular disorder affecting the retina due to prolonged diabetes. DR is one of the causes of vision defection. The risk of blindness can be reduced significantly in patients by early screening of diabetic patients for the development of diabetic retinopathy. In this study, vascular structure was extracted from fundus images using the Kirsch's method. Gaussian filter has been applied to the extracted vascular structure and removed from its noise. In this way, the detection of DR by pre-trained artificial intelligence has been made significantly easier. [ABSTRACT FROM AUTHOR]
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- 2020
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26. Facial expression recognition using deep learning.
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Shehu, Harisu Abdullahi, Sharif, Md. Haidar, Uyaver, Sahin, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
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FACIAL expression , *ARTIFICIAL neural networks , *DEEP learning , *DATA science - Abstract
Facial expression recognition has become an increasingly important area of research in recent years. Neural network- based methods have made amazing progress in performing recognition-based tasks, winning competitions set up by various data science communities, and achieving high performance on many datasets. Miscellaneous regularization methods have been utilized by various researchers to help combat over-fitting, to reduce training time, and to generalize their models. In this paper, by applying the Haar Cascade classifier to crop faces and focus on the region of interest, we hypothesize that we would attain a fast convergence without using the whole image to analyze facial expressions. We also apply label smoothing and analyze its effect on the databases of CK+, KDEF, and RAF. The ResNet model has been employed as an example of a neural network model. Label smoothing has demonstrated an improvement of the recognition accuracy up to 0.5% considering CK+ and the KDEF databases. While the application of Haar Cascade has shown to decrease the achieved accuracy on KDEF and RAF databases with a small margin, fast convergence of the model has been observed. [ABSTRACT FROM AUTHOR]
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- 2020
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27. Review of the contributions of contactless payment technologies in the COVID-19 pandemic process.
- Author
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Sahinaslan, Onder, Sahinaslan, Ender, Gunes, Emre, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, and Onvural, Oruc Raif
- Subjects
- *
COVID-19 pandemic , *CONTACTLESS payment systems , *COVID-19 , *ARTIFICIAL intelligence , *MACHINE learning , *NEAR field communication - Abstract
In today's world where the effects of Covid-19 are felt intensely all over the world, change in traditional retail has become necessary. Traditional merchandising based on physical contact Covid-19 is not suitable. People do not shop from places that are not safe for health. Technological innovations in the retail sector paved the way for information and digital-based commerce. Instant data obtained from the devices used are transferred to central databases over networks. With the machine learning method based on artificial intelligence, more efficient and faster business activities are performed on these data. Sensor and camera-assisted deep learning-based IoT applications play a very important role in combating the epidemic. Shopping environments without contact, waiting, cashier, store assistant, cash flow and credit card applications are a great advantage for the Covid-19 period. Less human contact and hygienic environments that are not crowded are critical in this period. In this study, the use of contactless payments, artificial intelligence-supported digital innovations and Covid-19 measures were examined in the retail sector. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
28. Design of full state feedback controller for controlling depth of underwater robot.
- Author
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Baba, Bashir Abdullahi, Esmaılı, Parvaneh, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
- Subjects
- *
REMOTE submersibles , *AUTONOMOUS robots , *ROBOT control systems , *WATER depth , *STATE feedback (Feedback control systems) - Abstract
Underwater robots have the ability to go down the sea up to several meters of height without any fear of loss of human lives. These robots need autonomous control systems and guidance to carry out their tasks. One of the main objectives of any underwater robot is to reach a given depth under the water and also be able to maintain that depth throughout the operation period. In this paper a simple full state feedback controller was designed to control the underwater robot's depth, despite all the external forces and disturbances during a given mission. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
29. Investigation of cost and labor gains achieved by virtualization technologies.
- Author
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Sahinaslan, Ender, Sahinaslan, Onder, Bagislanan, Osman, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, and Onvural, Oruc Raif
- Subjects
- *
LABOR costs , *FLEXIBLE structures , *INFORMATION processing , *INFORMATION resources , *COST structure - Abstract
Well-consolidated servers are needed in the execution of information technology processes. With rapid digitalization, information processing units turn into unplanned, heterogeneous, problematic, cumbersome and complex structures that require too much labor. In these structures, which are difficult to manage and irregular, resources that are not used effectively are wasted. Information technology resources such as CPU, memory, disk, operating system, network and human are costly components. Solutions are produced with virtualization technology against such high cost complex structures. With a well-structured virtualization solution, dynamic structures with flexible structure, low cost, high performance, safe, fast and uninterrupted are created, as well as labor gains in installation, maintenance and management that require technical expertise. This study is on the analysis of the examples of institutions performing virtualization and the research results on virtualization cost savings over an example data server model. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
30. Source identification problems for two dimensional neutron transport differential and difference equations.
- Author
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Ashyralyev, Allaberen, Taskin, Abdulgafur, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
- Subjects
- *
DIFFERENTIAL-difference equations , *DIFFERENCE equations , *DIFFERENTIAL equations , *NEUTRON transport theory , *NEUTRONS , *TRANSPORT equation , *DIFFERENTIAL inequalities - Abstract
In this study, source identification problem for the two dimensional neutron transport equation is studied. For the approximate solution of this problem a first order of accuracy difference scheme is presented. Stability inequalities for the solution of these differential and difference problems are established. Numerical results are given. [ABSTRACT FROM AUTHOR]
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- 2020
- Full Text
- View/download PDF
31. The applications of non-polynomial spline to the numerical solution for fractional differential equations.
- Author
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Hamasalh, Faraidun K., Headayat, Mizhda Abbas, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
- Subjects
- *
NUMERICAL solutions to differential equations , *CAPUTO fractional derivatives , *PROBLEM solving - Abstract
This paper presents a computation and discuss on non-polynomial spline of fractional order to solve the differential equations with Caputo fractional derivative. Taylor series is applied to discretize the time derivative of the function. Several examples are considered to confirm the accuracy of the spline method and to show the completion of non-polynomial spline. In addition, we discuss the numerical computations provident and can be used to solve complex problems, also the results are obtained to be in a nice error estimation with known exact solutions. [ABSTRACT FROM AUTHOR]
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- 2020
- Full Text
- View/download PDF
32. A fourth order accurate approximation of the solution of Laplace's equation on a rectangle using the two-stage difference method.
- Author
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Sarıkaya, Hediye, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
- Subjects
- *
DIRICHLET problem , *HOLDER spaces , *DIFFERENCE equations , *PROBLEM solving - Abstract
In this paper, two stage difference method is presented to solve the Dirichlet problem for the Laplace equation on rectangle. In the first stage, the sum of the pure fourth order derivatives of the required solution is approximated on a square grid. Then, by using the quantities that are determined in the first stage, the system of difference equations which approximates the Dirichlet problem, is computed during the second stage. The difference equations found in the stages are formulated by using the 5-point averaging operator. Due to these facts that, the boundary values are continuous and sixth times differentiable at the edges of the rectangle, the derivatives of them satisfy Hölder condition and at the end, their second and fourth order derivatives meet the matching condition implied by the Laplace equation. We proved that the difference solution of the Dirichlet problem is uniform convergent with the order O(h4), where h denotes the mesh size. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
33. Solution of inverse problem for an elliptic equation by differential transform method.
- Author
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Dedeturk, Mutlu, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
- Subjects
- *
ELLIPTIC differential equations , *INVERSE problems , *ELLIPTIC equations - Abstract
In this work, inverse problem for an elliptic equation is studied. We gave a numerical solution of inverse elliptic problem by differential transform method in test example. [ABSTRACT FROM AUTHOR]
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- 2020
- Full Text
- View/download PDF
34. Numerical approach of the nonlinear reaction-advection-diffusion equation with time-space conformable fractional derivatives.
- Author
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Brahim, Nouiri, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
- Subjects
- *
ADVECTION-diffusion equations , *NONLINEAR equations , *NONLINEAR differential equations , *ORDINARY differential equations , *CHEBYSHEV polynomials , *FINITE difference method - Abstract
In this paper, a numerical approach is proposed for solving one dimensional nonlinear time-space-fractional reaction-advection-diffusion equation with Dirichlet boundary conditions. The fractional derivatives are described in the conformable sense. The numerical scheme is based on shifted Chebyshev polynomials of the fourth kind. The unknown function is written as Cheby-shev series with m terms. The nonlinear space fractional reaction-advection-diffusion equation is reduced to a system of nonlinear ordinary differential equations by using the properties of Chebyshev polynomials and conformable fractional calculus.The finite difference method is applied to solve this system. Finally, numerical example is presented to confirm the reliability and effectiveness of the proposed approach. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
35. Stability estimates for a third order of accuracy difference scheme elliptic overdetermined multi-point problem.
- Author
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Ashyralyyev, Charyyar, Akyuz, Gulzipa, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
- Subjects
- *
HILBERT space - Abstract
In this work, we discuss a third order of accuracy difference scheme for approximate solution of the elliptic overdeter-mined multi-point problem in the Hilbert space. Functional operator approach is used to study existence and uniqueness of solution of difference problem. Stability, almost coercive stability and coercive stability estimates for solution of difference scheme are established. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
36. Qualitative analysis of solutions for a system of viscoelastic wave equations of Kirchhoff type with logarithmic nonlinearity.
- Author
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Pişkin, Erhan, Irkıl, Nazlı, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
- Subjects
- *
WAVE equation , *POTENTIAL well - Abstract
In paper, we consider a system of Kirchhoff type with logarithmic nonlinearity. We prove the global existence of weak solutions by using the potential well method. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
37. On stable difference scheme for identification elliptic problem with integral and second kind boundary condition.
- Author
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Ashyralyyev, Charyyar, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
- Subjects
- *
ELLIPTIC integrals - Abstract
In this study, the first order of accuracy difference scheme for approximate solution of source identification elliptic problem with integral and second kind boundary conditions is considered. Stability and coercive stability estimates for solution of the difference scheme are described. Moreover, test example with computation results is given. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
38. On the boundedness of the Schrödinger type differential equation with time involution.
- Author
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Ashyralyev, Allaberen, Abbas, Twana, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
- Subjects
- *
DIFFERENTIAL equations , *INITIAL value problems , *PARTIAL differential equations , *NONLINEAR equations , *FUNCTION spaces , *UNIQUENESS (Mathematics) - Abstract
In the present paper, the initial value problem for the Schrödinger type involutory partial differential equation is studied. Applying Green's function of space operator, we get formula for solution of this problem. In applications, the theorem on stability of this problem is established. Furthermore, this formula is applied to the existence and uniqueness of bounded solution of nonlinear problem with involution. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
39. A note on the elliptic-telegraph identification problem with non-local condition.
- Author
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Ashyralyev, Allaberen, Al-Hammouri, Ahmad, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
- Subjects
- *
DIFFERENTIAL equations , *EQUATIONS - Abstract
In the present paper, a source identification problem for elliptic-telegraph equation with non-local condition is studied. Stability estimates for the differential equations of the source identification problem are established. Furthermore, stability estimates for the difference schemes of the source identification problem are presented. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
40. On R-modified Crank-Nicholson difference schemes for the source identification parabolic-elliptic problem.
- Author
-
Ashyralyev, Allaberen, Arikan, Cagin, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
- Subjects
- *
EQUATIONS - Abstract
In the present paper, a space-dependent identification problem for parabolic-elliptic equations is investigated. The second order of accuracy r-modified Crank-Nicholson difference schemes for the numerical solution of the source identification parabolic-elliptic problems are presented. Numerical results are given. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
41. A note on parabolic differential equations on manifold.
- Author
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Ashyralyev, Allaberen, Sozen, Yasar, Hezenci, Fatih, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
- Subjects
- *
BOUNDARY value problems , *DIFFERENTIAL equations , *PARABOLIC differential equations , *COERCIVE fields (Electronics) - Abstract
The present extended abstract considers the differential equations on smooth closed manifolds, investigates and establishes the well-posedness of nonlocal boundary value problems (NBVP) in Hölder spaces. It also establishes new coercivity estimates in various Hölder norms for the solutions of such boundary value problems for parabolic equations. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
42. A high order of accuracy of difference schemes for the nonlocal boundary value Schrödinger problem.
- Author
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Ashyralyev, Allaberen, Sirma, Ali, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
- Subjects
- *
BOUNDARY value problems , *POSITIVE operators , *HILBERT space - Abstract
In this study, nonlocal boundary value Schrödinger type problem in a Hilbert space with the self-adjoint positive definite operator is investigated. Single step stable third and fourth order of accuracy difference schemes for the numerical solution of this problem are presented. The main theorems on the stability of these difference schemes are established. In application, theorem on the stability of difference schemes for nonlocal boundary value problems for Schrödinger equations is proved. Numerical results are given. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
43. A note on the hyperbolic-parabolic identification problem with nonlocal conditions.
- Author
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Ashyraliyev, Maksat, Ashyralyyeva, Maral, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
- Subjects
- *
HYPERBOLIC differential equations , *EQUATIONS - Abstract
In the present paper, we study a source identification problem for hyperbolic-parabolic equation with nonlocal conditions. The stability estimates for the solution of this source identification problem are established. Furthermore, we construct the second order of accuracy difference scheme for the approximate solution of the problem under consideration. The stability estimates for the solution of this difference scheme are presented. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
44. Compact operators on Riesz difference sequence space of fractional order.
- Author
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Yaying, Taja, Çakalli, Huseyin, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
- Subjects
- *
SEQUENCE spaces , *DIFFERENCE operators , *COMPACT operators , *HAUSDORFF spaces , *HAUSDORFF measures , *COMPACT spaces (Topology) - Abstract
In this paper we study the domain of generalized Riesz difference matrix RqΔ(α) of fractional order α in the classical sequence spaces c0 and c and introduced the sequence spaces r 0 q (Δ (α)) and r c q (Δ (α)). We obtain the α−, β− and γ−duals of these spaces and using Hausdorff measure of noncompactness, we characterize certain classes of compact operators on the space r 0 q (Δ (α)). [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
45. Common fixed point results for general contractive inequality of integral type on GMMS.
- Author
-
Manav, Nesrin, Turkoglu, Duran, Abdeljawad, Thabet, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, and Onvural, Oruc Raif
- Subjects
- *
FIXED point theory , *INTEGRAL inequalities , *METRIC spaces , *GENERALIZED spaces , *GENERALIZED integrals - Abstract
We prove common fixed point theorems for mappings satisfying a general contractive inequality of integral type for generalized metric spaces. Our results extend of the theorem of Branciari (2002) constitutionally and we provide some examples in support of our results. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
46. Periodic point results for Boyd-Wong contraction mappings on partial metric spaces.
- Author
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Aslantas, Mustafa, Bachay, Ali Hüssein, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
- Subjects
- *
FIXED point theory , *METRIC spaces , *LITERATURE - Abstract
In this paper, we prove some periodic point results on partial metric spaces. Thus, we generalize famous results existing in the literature such as Boyd-Wong fixed point theorem and Banach fixed point theorem. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
47. Δα–deferred statistical convergence of fractional order.
- Author
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Aral, Nazlım Deniz, Kandemir, Hacer Şengül, Et, Mikail, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, and Onvural, Oruc Raif
- Subjects
- *
CONCEPTS , *TECHNOLOGY convergence - Abstract
In this paper, we introduce the concepts of Δα-deferred statistical convergence with the fractional order of α and Δα- strongly convergence with the fractional order of α. Additionally, we give some relations about these concepts. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
48. Wijsman deferred statistical convergence and Wijsman strong deferred Cesàro convergence of order a of sequences of sets.
- Author
-
Yilmazer, M. Cagri, Et, Mikail, Kandemir, Hacer Sengul, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
- Subjects
- *
ORDERED sets , *TECHNOLOGY convergence - Abstract
The main purpose of this paper is to introduce the concepts of Wijsman deferred statistical convergence of order α and Wijsman strong deferred Cesàro convergence of order α for sequences of sets. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
49. Double almost lacunary summable sequences of weight g in 2-normed spaces.
- Author
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Savas, Rabia, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
- Subjects
- *
FUNCTION spaces , *SEQUENCE spaces , *WEIGHTS & measures - Abstract
The concept of P-convergent double sequence spaces was presented in 1988 by Moricz and Rhoades, and also in 2005, the notion of almost lacunary strongly P-convergent double sequences was introduced by Savas and Patterson, using Orlicz functions. Following these two concepts, we present the double almost lacunary strongly P-convergent of weight g via Orlicz functions in 2-Normed spaces. Additionally, inclusion theorems and extension of existing results in the literature will be established. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
50. Double almost lacunary statistical convergence of weight g in 2-normed spaces.
- Author
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Savas, Rabia, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
- Subjects
- *
STATISTICAL weighting , *NORMED rings - Abstract
The goal of this article is to present double almost lacunary statistical convergence of weight of g in 2-normed spaces. Furthermore, we examine some inclusion theorems and variations. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
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