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

Authors : Erhan Set, Ali Karaoğlan

Pages : 181-191

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Publication Date : 2017-10-15

Article Type : Research

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