New Inequalities of Hermite-Hadamard Type for Functions whose Derivatives Absolute Values are Quasi-Convex

TL;DR

This paper develops new inequalities of Hermite-Hadamard type for functions whose derivatives' absolute values are quasi-convex, providing refined bounds in integral inequalities.

Contribution

It introduces novel Hermite-Hadamard inequalities involving quasi-convex derivatives, extending classical results with new bounds.

Findings

Established new inequalities for quasi-convex functions' derivatives

Provided bounds that improve existing Hermite-Hadamard inequalities

Extended the applicability of Hermite-Hadamard inequalities to broader function classes

Abstract

In this paper we establish some estimates of the right hand side of a Hermite-Hadamard type inequality in which some quasi-convex functions are involved.