HERMITE-HADAMARD AND HERMITE-HADAMARD-FEJER TYPE INEQUALITIES FOR (k, h)-CONVEX FUNCTION VIA KATUGAMPOLA FRACTIONAL INTEGRALS

Year 2017, Volume: 5 Issue: 2, 181 - 191, 15.10.2017

ERHAN Set ALİ Karaoğlan

Abstract

In this paper, we obtain some new Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities for (k,h)-convex functions via Katugampola fractionals which are a generalization of Riemann-Liouville and the Hadamard fractional integrals in to a single form.

Keywords

Hermite-Hadamard-Fejer inequality, Riemann-Liouville fractional integrals, Hadamard fractional integrals, Katugampola fractional integrals, (k;h)-convex functions

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