On (h-m)-Convexity and Hadamard-Type Inequalities

TL;DR

This paper introduces a new class of convex functions called (h-m)-convex functions, explores their properties, and establishes related Hadamard-type inequalities, expanding the theoretical framework of convex analysis.

Contribution

The paper defines (h-m)-convexity as a generalization of convexity and proves new Hadamard-type inequalities for this class.

Findings

Introduction of (h-m)-convex functions as a generalization of convexity

Derivation of new Hadamard-type inequalities for (h-m)-convex functions

Analysis of properties of the (h-m)-convex class

Abstract

In this paper, a new class of convex functions as a generalization of convexity which is called (h-m)-convex functions and some properties of this class is given. We also prove some Hadamard's type inequalities.