New Estimations for h-convex Functions via Further Properties

TL;DR

This paper introduces new inequalities of the Hermite-Hadamard type for h-convex functions, focusing on functions with h-convex derivatives, and explores applications to special means.

Contribution

It provides novel Hermite-Hadamard inequalities for h-convex functions with h-convex derivatives, expanding the theoretical framework.

Findings

New inequalities for h-convex functions established

Applications to special means demonstrated

Enhanced understanding of h-convexity properties

Abstract

In this paper, some new inequalities of the Hermite-Hadamard type for h- convex functions whose modulus of the derivatives are h-convex and applications for special means are given.