Inequalities via \varphi_{h,m}-convexity

TL;DR

This paper introduces a new class of functions called _{h,m}-convex functions and establishes several inequalities applicable to this class, expanding the theoretical framework of convexity.

Contribution

The paper's novelty lies in defining _{h,m}-convex functions and deriving inequalities specific to this new class, broadening convexity theory.

Findings

Defined _{h,m}-convex functions

Proved inequalities for the _{h,m}-convex class

Extended convexity inequalities to a new function class

Abstract

In this paper, we define \varphi_{h,m}-convex functions and prove some inequalities for this class.