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29 results on '"OCAK AKDEMIR, AHMET"'

1. Some new generalizations for m-convexity via new conformable fractional integral operators

Author

Ocak Akdemir Ahmet, Deniz Erhan, and Yüksel Ebru

Subjects
new conformable fractional integrals, m-convexity, euler beta function, Mathematics, QA1-939
Abstract

In this paper, some new generalizations for m-convex functions have been given by using an integral identity via new conformable fractional integrals and some further properties. It is pointed out that special cases of our findings gave some earlier inequalities involving Riemann-Liouville fractional integrals.

Published
2019

2. Some fractional estimates of upper bounds involving functions having exponential convexity property

Author

Rashid, Saima, Noor, Muhammad Aslam, Ocak Akdemir, Ahmet, and Noor, Khalida Inayat

Subjects
Hermite-Hadamard inequality, Convex functions, Riemann-Liouville fractional integral, Exponential convex functions
Abstract

The main objective of this article is to consider the class of exponentially convex functions. We derive a new integral identity involving Riemann-Liouville fractional integral. Utilizing this identity as an auxiliary result we obtain new fractional bounds involving the functions having exponential convexity property. Publisher's Version

Published
2021

6. Mathematical Modeling of Feelings in Viewpoint of Analysis of Olvido Poetry with Fractional Operators

Author

Ali Dokuyucu, Mustafa, Armağan, Burak, Eliuz, Ülkü, Ocak Akdemir, Ahmet, and Emir Köksal, Mehmet

Abstract

The main motivation point of the article and the main factor that provides originality are an analysis of the modeling of feelings in the perspective of the analysis of Olvido’s poetry with the help of two fractional operators that offer the most effective solutions to real-world problems. In the study, first of all, the effect and contribution of fractional analysis to be applied and theoretical sciences were examined. A mathematical model of the feelings described in Olvido’s poem has been created to establish an important connection between fractional operators, which are an effective tool in the explanation of many physical and applied phenomena, and literary works that try to describe human life and feelings. The solutions of this model are investigated with the help of Caputo and Atangana–Baleanu fractional derivative operators. The findings were supported by various graphics in the light of special values of the parameters of the operators. The study focuses on generalizing the effects of literature research on human life to a general framework, not only providing the realization of the outputs that the literature field brings to human life and literature with the help of a mathematical model. The study has a rare content in the literature in terms of bringing together poetry and mathematics, which deal with human life with different methodologies.

Published
2023
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7. Uniform Treatment of Jensen’s Inequality by Montgomery Identity

Author

Rasheed, Tahir, Ihsan Butt, Saad, Pečarić, Đilda, Pečarić, Josip, and Ocak Akdemir, Ahmet

Abstract

We generalize Jensen’s integral inequality for real Stieltjes measure by using Montgomery identity under the effect of n−convex functions; also, we give different versions of Jensen’s discrete inequality along with its converses for real weights. As an application, we give generalized variants of Hermite–Hadamard inequality. Montgomery identity has a great importance as many inequalities can be obtained from Montgomery identity in q−calculus and fractional integrals. Also, we give applications in information theory for our obtained results, especially for Zipf and Hybrid Zipf–Mandelbrot entropies.

Published
2021
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8. Fractional Integral Inequalities via Atangana-Baleanu Operators for Convex and Concave Functions

Author

Ocak Akdemir, Ahmet, Karaoğlan, Ali, Alessandra Ragusa, Maria, and Set, Erhan

Abstract

Recently, many fractional integral operators were introduced by different mathematicians. One of these fractional operators, Atangana-Baleanu fractional integral operator, was defined by Atangana and Baleanu (Atangana and Baleanu, 2016). In this study, firstly, a new identity by using Atangana-Baleanu fractional integral operators is proved. Then, new fractional integral inequalities have been obtained for convex and concave functions with the help of this identity and some certain integral inequalities.

Published
2021
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9. NEW REFINEMENTS AND INTEGRAL INEQUALITIES FOR CONCAVE FUNCTIONS

Author

ÖZDEMİR, M. Emin and OCAK AKDEMİR, Ahmet

Subjects
Concave function,Hermite-Hadamard inequalitiy,Holder inequality,Jensen inequality,Favard inequality
Abstract

In this paper, we establish new renements and integral inequalities including concave functions. The reason why we choose the concave functions in this study is that the methods we use are applicable to these functions. Also some applications are provided.

10. Numerical Simulation of Conformable Fuzzy Differential Equations

Author

Al-Smadi, Mohammed, Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Zeki Sarıkaya, Mehmet, editor, Dutta, Hemen, editor, Ocak Akdemir, Ahmet, editor, and Srivastava, Hari M., editor

Published
2020
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11. Class of Integral Operators for a Set of Boehmians Functions

Author

Al-Omari, Shrideh K. Q., Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Zeki Sarıkaya, Mehmet, editor, Dutta, Hemen, editor, Ocak Akdemir, Ahmet, editor, and Srivastava, Hari M., editor

Published
2020
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12. Inequalities for Curve and Surface Integrals

Author

Pavić, Zlatko, Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Zeki Sarıkaya, Mehmet, editor, Dutta, Hemen, editor, Ocak Akdemir, Ahmet, editor, and Srivastava, Hari M., editor

Published
2020
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13. Kernel-Based Fuzzy Clustering for Sinusitis Dataset

Author

Rustam, Zuherman, Putri, Nadisa Karina, Pandelaki, Jacub, Nugroho, Widyo Ari, Utami, Dea Aulia, Hartini, Sri, Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Zeki Sarıkaya, Mehmet, editor, Dutta, Hemen, editor, Ocak Akdemir, Ahmet, editor, and Srivastava, Hari M., editor

Published
2020
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14. Stress Analysis in Anisotropic Rock Massif by the 2Dimensional BIE Method

Author

Dildabayev, Sh. A., Zakir’yanova, G. K., Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Zeki Sarıkaya, Mehmet, editor, Dutta, Hemen, editor, Ocak Akdemir, Ahmet, editor, and Srivastava, Hari M., editor

Published
2020
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15. Mathematical Modelling for Complex Biochemical Networks and Identification of Fast and Slow Reactions

Author

Khoshnaw, Sarbaz H. A., Rasool, Hemn M., Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Zeki Sarıkaya, Mehmet, editor, Dutta, Hemen, editor, Ocak Akdemir, Ahmet, editor, and Srivastava, Hari M., editor

Published
2020
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16. A Predator-Prey Model with Fear Factor, Allee Effect and Periodic Harvesting

Author

Aldila, Dipo, Adhyarini, Padma Sindura, Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Zeki Sarıkaya, Mehmet, editor, Dutta, Hemen, editor, Ocak Akdemir, Ahmet, editor, and Srivastava, Hari M., editor

Published
2020
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17. Fuzzy Kernel-Based Clustering and Support Vector Machine Algorithm in Analyzing Cerebral Infarction Dataset

Author

Rustam, Zuherman, Utami, Dea Aulia, Pandelaki, Jacub, Putri, Nadisa Karina, Hartini, Sri, Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Zeki Sarıkaya, Mehmet, editor, Dutta, Hemen, editor, Ocak Akdemir, Ahmet, editor, and Srivastava, Hari M., editor

Published
2020
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18. Residual Power Series Approach for Solving Linear Fractional Swift-Hohenberg Problems

Author

Hasan, Shatha, Al-Smadi, Mohammed, Momani, Shaher, Arqub, Omar Abu, Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Zeki Sarıkaya, Mehmet, editor, Dutta, Hemen, editor, Ocak Akdemir, Ahmet, editor, and Srivastava, Hari M., editor

Published
2020
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19. A Certain Group Acting on a -Algebra Generated by Countable Infinitely Many Semicircular Elements

Author

Cho, Ilwoo, Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Zeki Sarıkaya, Mehmet, editor, Dutta, Hemen, editor, Ocak Akdemir, Ahmet, editor, and Srivastava, Hari M., editor

Published
2020
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20. Inequalities for m-Convex Functions via Ψ-Caputo Fractional Derivatives

Author

Akdemir, Ahmet Ocak, Dutta, Hemen, Yüksel, Ebru, Deniz, Erhan, Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Zeki Sarıkaya, Mehmet, editor, Dutta, Hemen, editor, Ocak Akdemir, Ahmet, editor, and Srivastava, Hari M., editor

Published
2020
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21. Mathematical Modeling of Rock Massif Dynamics Under Explosive Sources of Disturbances

Author

Zakir’yanova, G. K., Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Zeki Sarıkaya, Mehmet, editor, Dutta, Hemen, editor, Ocak Akdemir, Ahmet, editor, and Srivastava, Hari M., editor

Published
2020
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22. Certain Properties of a Subclass of Multivalent Analytic Functions Using Multiplier Transformation

Author

Parida, Laxmipriya, Sahoo, Ashok Kumar, Paikray, Susanta Kumar, Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Zeki Sarıkaya, Mehmet, editor, Dutta, Hemen, editor, Ocak Akdemir, Ahmet, editor, and Srivastava, Hari M., editor

Published
2020
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23. Convergence Theorems for Two Quasi-nonexpansive Multivalued Mappings by Modifying S-Iterations

Author

Cholamjiak, W., Moonduang, K., Jantharasena, N., Dutta, H., Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Zeki Sarıkaya, Mehmet, editor, Dutta, Hemen, editor, Ocak Akdemir, Ahmet, editor, and Srivastava, Hari M., editor

Published
2020
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24. Viscosity Modification with Inertial Forward-Backward Splitting Methods for Solving Inclusion Problems

Author

Yambangwai, D., Suantai, S., Dutta, H., Cholamjiak, W., Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Zeki Sarıkaya, Mehmet, editor, Dutta, Hemen, editor, Ocak Akdemir, Ahmet, editor, and Srivastava, Hari M., editor

Published
2020
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25. Curvature Tensors of Screen Semi-invariant Half-Lightlike Submanifolds of a Semi-Riemannian Product Manifold with Quarter-Symmetric Non-metric Connection

Author

Bahadır, Oguzhan, Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Zeki Sarıkaya, Mehmet, editor, Dutta, Hemen, editor, Ocak Akdemir, Ahmet, editor, and Srivastava, Hari M., editor

Published
2020
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26. On Subclasses of Uniformly Convex Functions Generated by Touchard Polynomials Associated with Conic Regions

Author

AlShaqsi, Khalifa, Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Zeki Sarıkaya, Mehmet, editor, Dutta, Hemen, editor, Ocak Akdemir, Ahmet, editor, and Srivastava, Hari M., editor

Published
2020
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27. Identities for the Hermite-Based Fubini Polynomials

Author

Kurt, Burak, Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Zeki Sarıkaya, Mehmet, editor, Dutta, Hemen, editor, Ocak Akdemir, Ahmet, editor, and Srivastava, Hari M., editor

Published
2020
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28. GENERALIZATIONS OF INTEGRAL INEQUALITIES FOR FUNCTIONS WHOSE SECOND DERIVATIVES ARE CONVEX AND m– CONVEX.

Author

EMIN ÖZDEMIR, M., EKINCI, ALPER, and OCAK AKDEMIR, AHMET

Subjects
*INTEGRAL inequalities, *CONVEX functions, *DERIVATIVES (Mathematics), *FIXED point theory, *NUMERICAL analysis, *STOCHASTIC convergence
Abstract

In this paper, we establish some new integral inequalities for convex and m–convex functions by using a new kernel. The analysis used in the proofs is fairly elementary and based on the classical inequalities. We also give some comparisons and applications to special means for our results. [ABSTRACT FROM AUTHOR]

Published
2012
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29. Inequalities including the barycenters

Author

Pavić, Zlatko, Ocak Akdemir, Ahmet, Set, Erhan, and Ekinci, Alper

Subjects
Mathematics::Classical Analysis and ODEs, barycenter, simplex, inequality
Abstract

The aim of the communication is to present the review of the Hermite-Hadamard inequality as the most important double inequality. We consider multivariate convex functions defined on simplices in the Euclidean space. The first thing we discuss is an extension of the Hermite-Hadamard inequality from the simplex barycenter to some other points. The second thing we are interested in is a two-sided refinement of this inequality. The third thing we want is to include the Fejér inequality in all of this. In the case of univariate convex functions, the Fejér inequality generalizes the Hermite-Hadamard inequality by using an additional symmetric function. Involving the concept of the barycenter of a positive integrable function, we can extend both inequalities.

Published
2017

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