Two new different kinds of convex dominated functions and inequalities via hermite-hadamard type

TL;DR

This paper introduces two novel classes of convex dominated functions and derives new Hermite-Hadamard type inequalities related to these classes, expanding the theoretical framework of convex analysis.

Contribution

The paper presents two new types of convex dominated functions and establishes corresponding Hermite-Hadamard inequalities, contributing novel theoretical results to convex analysis.

Findings

Introduction of two new convex dominated functions

Derivation of new Hermite-Hadamard inequalities for these functions

Expansion of convex analysis theoretical framework

Abstract

In this paper, we establish two new convex dominated function and then we obtain new Hadamard type inequalities related to this denitions.