Hermite-Hadamard-Fejer type inequalities for convex functions via fractional integrals

TL;DR

This paper extends Hermite-Hadamard-Fejer inequalities to convex functions using fractional integrals, providing new integral identities and inequalities that broaden previous results in the field.

Contribution

It introduces novel Hermite-Hadamard-Fejer type inequalities for fractional integrals and extends earlier work with new integral identities and inequalities.

Findings

Established Hermite-Hadamard-Fejer inequality for fractional integrals

Derived new integral identities involving fractional integrals

Extended previous inequalities to broader classes of functions

Abstract

In this paper, firstly we have established Hermite--Hadamard-Fej\'er inequality for fractional integrals. Secondly, an integral identity and some Hermite-Hadamard-Fejer type integral inequalities for the fractional integrals have been obtained. The some results presented here would provide extensions of those given in earlier works.