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2 results on '"ÖZÇELIK, KUBILAY"'

1. OSTROWSKI TYPE INEQUALITIES FOR FUNCTIONS OF TWO VARIABLES VIA GENERALIZED FRACTIONAL INTEGRALS.

Author

ÖZÇELIK, KUBILAY, BUDAK, HÜSEYIN, SARIKAYA, MEHMET ZEKI, and KASHURI, ARTION

Subjects
*FRACTIONAL integrals, *MATHEMATICAL equivalence, *RANDOM operators, *FUZZY logic, *METRIC spaces
Abstract

In this paper, we establish some Ostrowski type integral inequalities for functions of two variables involving generalized fractional integrals. The results presented here provide extensions of those given in earlier works. [ABSTRACT FROM AUTHOR]

Published
2023
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2. Some generalized fractional trapezoid and Ostrowski type inequalities for functions with bounded partial derivatives.

Author

Budak, Hüseyin and Özçelik, Kubilay

Subjects
*TRAPEZOIDS, *DIFFERENTIABLE functions, *GENERALIZED integrals, *INTEGRAL functions, *FRACTIONAL integrals
Abstract

In this paper, we first prove three identities for twice partially differentiable functions. Then, by using these equalities, we obtain several trapezoid and Ostrowski type inequalities via generalized fractional integrals for functions with bounded partial derivatives. Moreover, we present some results for Riemann‐Liouville fractional integrals by special choice of main results. [ABSTRACT FROM AUTHOR]

Published
2021
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