Hermite-Hadamard type integral inequalities for functions whose first derivatives are of convexity

TL;DR

This paper develops new Hermite-Hadamard type inequalities for functions with convex derivatives and applies them to derive inequalities involving special means.

Contribution

It introduces novel Hermite-Hadamard inequalities specifically for functions with convex derivatives, expanding existing mathematical inequalities.

Findings

New inequalities for convex derivative functions

Applications to inequalities of special means

Enhanced bounds for convex functions

Abstract

In the paper, the authors establish some new Hermite-Hadamard type inequalities for functions whose first derivatives are of convexity and apply these inequalities to construct inequalities of special means.