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

TL;DR

This paper establishes Hermite-Hadamard type inequalities for harmonically $(eta,m)$-convex functions using fractional integrals, expanding the theoretical framework of convex analysis.

Contribution

It introduces new Hermite-Hadamard inequalities specifically for harmonically $(eta,m)$-convex functions via fractional integrals, a novel extension in convex analysis.

Findings

Derived new inequalities for harmonically $(eta,m)$-convex functions.

Extended Hermite-Hadamard inequalities using fractional integrals.

Provided theoretical bounds for these classes of functions.

Abstract

In this paper, some Hermite-Hadamard type inequalities are established for harmonically $(\alpha,m)$-convex functions via fractional integrals and some Hermite-Hadamard type inequalities are obtained for these classes of functions.