Search

Showing total 5 results
5 results

1. The (k, s, h)-Riemann-Liouville and the (k, s)-Hadamard Operators.

Author

Bezziou, M., Dahmani, Z., and Sarikaya, M. Z.

Subjects
*HADAMARD matrices, *MATHEMATICS, *INTEGRALS, *FUZZY integrals, *RIEMANN integral
Abstract

This paper deals with new results on Gruss inequality by using recent fractional integral operators. In fact, based on the (k, s, h) -- Riemann-Liouville and the (k, h) --Hadamard fractional operators, we establish several integral results. For our results, some very recent results on the paper: [A Gruss type inequality for two weighted functions. J. Math. Computer Sci., 2018.] can be deduced as some special cases. [ABSTRACT FROM AUTHOR]

Published
2022

2. On Relative Deficiencies of Difference Polynomials from the View Point of Integrated Moduli of Logarithmic Derivative.

Author

Datta, S. Kumar, Sarkar, S., Chakraborty, G., and Manna, A.

Subjects
*POLYNOMIALS, *MATHEMATICS, *LOGARITHMS, *MEROMORPHIC functions, *NEVANLINNA theory
Abstract

Let f be a transcendental entire function defined in the open complex plane ℂ. A difference-monomial generated by f is an expression of the form F = fn(fm -1) ... (f (z+cj))..., where n, m and Vj are all non-negative integers. Now for the sake of definiteness let us take, Mi[f ] = fn(fm -1) ... (f (z+cj))..., where 1 ≤ i ≤ d. If M1 [f], M1 [f ],..., Mn [f] are such monomials in f as defined above, then ψ[f] = a1M1[f] + a2M2[f] + ... + anMn [f] where ai ≠ 0 (i = 1, 2,..., n) is called a difference-polynomial generated by f. In this paper, we compare the Valiron defect with the relative Nevan-linna defect of a particular type of differential-difference polynomial generated by a transcendental entire function with respect to integrated moduli of logarithmic derivative. Some examples are provided in order to justify the results obtained. [ABSTRACT FROM AUTHOR]

Published
2022

3. New Results on the Minimum Edge Dominating Energy of a Graph.

Author

Movahedi, F. and Akhbari, M. H.

Subjects
*FIXED point theory, *MATHEMATICS, *GRAPHIC methods, *EIGENVALUES, *MATRIX inequalities
Abstract

Let G be a graph with n vertices and m edges. The minimum edge dominating energy is defined as the sum of the absolute values of eigenvalues of the minimum edge dominating matrix of the graph G. In this paper, some lower and upper bounds for the minimum edge dominating energy of graph G are established. [ABSTRACT FROM AUTHOR]

Published
2022

4. The Best Proximity Points For Weak MT-cyclic Reich Type Contractions.

Author

Barootkoob, S., Lakzian, H., and Mitrović, Z. D.

Subjects
*METRIC geometry, *DIFFERENTIAL equations, *INTEGRAL equations, *MATHEMATICS, *INTEGRALS
Abstract

In this paper, we introduce a weak MT-cyclic Reich type contractions and obtain the existence theorems for best proximity point for self-mappings defined on the complete metric spaces. Our results improve and generalize some results in literature. Also, we give some applications of our results to solving some classes of non-linear integral and differential equations. [ABSTRACT FROM AUTHOR]

Published
2022

5. Some Fixed Point Results for F -- G--Contraction in F--Metric Spaces Endowed With a Graph.

Author

Faraji, H. and Radenović, S.

Subjects
*FIXED point theory, *MATHEMATICS, *GRAPHIC methods, *MATHEMATICS theorems, *METRIC spaces, *METRIC geometry
Abstract

In this paper, we introduce the concept of F--G--contraction mappings in F-metric spaces endowed with a graph and give some fixed point results for such contractions. Our results are generalization of some famous theorem in metric spaces to F--metric spaces endowed with a graph. Also, we give some examples that support obtained theoretical results. [ABSTRACT FROM AUTHOR]

Published
2022