Browsing Matematik by Author "Budak, Huseyin"

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GENERALIZED OSTROWSKI TYPE INEQUALITIES FOR FUNCTIONS WHOSE LOCAL FRACTIONAL DERIVATIVES ARE GENERALIZED s-CONVEX IN THE SECOND SENSE

Budak, Huseyin; Sarikaya, Mehmet Zeki; Set, Erhan (CZESTOCHOWA UNIV TECHNOLOGY, INST MATHEMATICS, ARMII KRAJOWEJ 21, CZESTOCHOWA, 42-200, POLAND, 2016)

In this paper, we establish some generalized Ostrowski type inequalities for functions whose local fractional derivatives are generalized s-convex in the second sense.
On Generalization of Trapezoid Type Inequalities for s-Convex Functions with Generalized Fractional Integral Operators

Budak, Huseyin; Sarikaya, Mehmet Zeki; Set, Erhan; Usta, Fuat (UNIV NIS, FAC SCI MATH, PO BOX 224, VISEGRADSKA 33, NIS, 18000, SERBIA MONTENEG, 2018)

By using contemporary theory of inequalities, this study is devoted to propose a number of refinements inequalities for the Hermite Hadamard's type inequality and conclude explicit bounds for the trapezoid inequalities in ...
QUANTUM OSTROWSKI TYPE INEQUALITIES FOR PRE-INVEX FUNCTIONS

Ali, Muhammad Aamir; Budak, Huseyin; Sarikaya, Mehmet Zeki; Set, Erhan (WALTER DE GRUYTER GMBH-BERLIN, 2022)

In this paper, using the quantum derivatives and quantum integrals, we prove some new quantum Ostrowski's type inequalities for pre-invex functions. Furthermore, in the special cases of newly developed inequalities, we ...

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