NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR GENERALIZED CONVEX FUNCTIONS WITH APPLICATIONS

In this paper, we establish some new generalized Hermite-Hadamard type inequalities for local fractional integrals on fractal sets R^{α} (0<α≤1) of real line numbers. Using some special generalized mean, we also support this paper

Certain inequalities associated with Hadamard k-fractional integral operators

Abstract We aim to present some new Pólya-Szegö type inequalities associated with Hadamard k-fractional integral operators, which are also used to derive some Chebyshev type integral inequalities. Further we apply some of the results presented here to a function which is bounded by the Heaviside functions

Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals

Abstract Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named ( k , s ) $(k,s)$ -Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established. Also, by using the obtained identity, we get a Hermite-Hadamard type inequality

On generalized Gruss type inequalities for k-fractional integrals

SET, ERHAN/0000-0003-1364-5396WOS: 000361771500005The aim of the present paper is to investigate some new integral inequalities of Gruss type for k - Riemann-Liouville fractional integrals. From our results, new weighted or classical Griiss type inequalities have been established for some special cases. Moreover, special cases of the integral inequalities in this paper have been obtained by Dahmani and Tabharit, 2010 in [5]. (C) 2015 Elsevier Inc. All rights reserved

On generalized Gruss type inequalities for k-fractional integrals

SET, ERHAN/0000-0003-1364-5396WOS: 000361771500005The aim of the present paper is to investigate some new integral inequalities of Gruss type for k - Riemann-Liouville fractional integrals. From our results, new weighted or classical Griiss type inequalities have been established for some special cases. Moreover, special cases of the integral inequalities in this paper have been obtained by Dahmani and Tabharit, 2010 in [5]. (C) 2015 Elsevier Inc. All rights reserved

Hermite-Hadamard Type Riemann-Liouville Fractional Integral Inequalities for Convex Functions

International Conference on Advances in Natural and Applied Sciences (ICANAS) -- APR 21-23, 2016 -- Antalya, TURKEYSET, ERHAN/0000-0003-1364-5396WOS: 000376001000035In this paper, we prove a useful lemma. After that, using this lemma, we obtain several new Hermite-Hadamard type of inequalities for Reimann-Liouville fractional integrals