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

TL;DR

This paper develops Hermite-Hadamard inequalities for harmonically convex functions using fractional integrals, extending classical inequalities to a broader class of functions with fractional calculus tools.

Contribution

It introduces new Hermite-Hadamard type inequalities specifically for harmonically convex functions through the application of fractional integrals.

Findings

Established Hermite-Hadamard inequalities for harmonically convex functions.

Derived new inequalities involving fractional integrals.

Extended classical convexity inequalities to harmonic convexity context.

Abstract

In this paper, the author established Hermite-Hadamard's inequalities for harmonically convex functions via fractional integrals and obtained some Hermite-Hadamard type inequalities of these classes of functions.