Hermite-Hadamard type inequalities for harmonically convex functions

TL;DR

This paper introduces harmonically convex functions and establishes Hermite-Hadamard type inequalities for this new class, expanding the theoretical framework of convex analysis.

Contribution

The paper defines harmonically convex functions and derives new Hermite-Hadamard inequalities specific to this class, broadening convex analysis theory.

Findings

Introduction of harmonically convex functions

Derivation of Hermite-Hadamard inequalities for these functions

Extension of convex analysis concepts

Abstract

The author introduce the concept of harmonically convex functions and establish some Hermite-Hadamard type inequalities of these classes of functions