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

TL;DR

This paper develops new weighted fractional inequalities for convex functions using derivatives, extending Hermite-Hadamard-Fejer type inequalities and broadening previous results in the field.

Contribution

It introduces novel weighted fractional inequalities for convex functions, enhancing the Hermite-Hadamard-Fejer inequality framework with fractional calculus techniques.

Findings

Established new weighted fractional inequalities for convex functions

Connected results with Hermite-Hadamard-Fejer type inequalities

Extended previous inequalities using fractional integrals

Abstract

In this paper, we establish some weighted fractional inequalities for differentiable mappings whose derivatives in absolute value are convex. These results are connected with the celebrated Hermite-Hadamard-Fejer type integral inequality. The results presented here would provide extensions of those given in earlier works.