On Hermite-Hadamard Type Inequalities Via h-Convexity with Applications in Special Means

TL;DR

This paper introduces new Hermite-Hadamard inequalities for h-convex functions, generalizing existing results and applying them to derive novel inequalities for special means of real numbers.

Contribution

It generalizes Hermite-Hadamard inequalities for h-convex functions and unifies various known results, also providing new applications in special means.

Findings

New Hermite-Hadamard inequalities for h-convex functions

Generalization and unification of existing inequalities

Applications to inequalities involving special means

Abstract

Some new Hermite-Hadamard's inequalities for h-convex functions are proved, generalizing and unifying a number of known results. Some new applications for special Means of real numbers are also derived.