NEW HERMITE–HADAMARD–FEJÉR TYPE INEQUALITIES VIA RIEMANN–LIOUVILLE FRACTIONAL INTEGRALS FOR CONVEX FUNCTIONS

Abstract

In this paper, we present new Hermite–Hadamard–Fejér type inequalities via Riemann–Liouville fractional integrals for the function [Formula: see text], where [Formula: see text] is convex function and [Formula: see text] is symmetric with respect to [Formula: see text]. Our results in some special cases yield the well-known classic Hermite–Hadamard–Fejér type inequalities. At the end of the paper, the applications of our results are given.