HERMITE-HADAMARD TYPE INEQUALITIES FOR HARMONICALLY $(\alpha,m)$-CONVEX FUNCTIONS BY USING FRACTIONAL INTEGRALS

Year 2017, Volume: 5 Issue: 1, 201 - 213, 03.04.2017

MEHMET Kunt İMDAT İşcan

Abstract

In this paper, we establish some fractional Hermite-Hadamard type inequalities for harmonically $(\alpha,m)$-convex functions. Also, we give some applications to special means of positive real numbers by using obtained inequalities.

Keywords

Hermite-Hadamard inequalities, harmonically $(\alpha m)$-convex functions, fractional integrals

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