Simpson type inequalities for first order differentiable preinvex and prequasiinvex functions

TL;DR

This paper establishes new Simpson-type inequalities for functions with first derivatives that are preinvex or prequasiinvex, extending classical inequalities to broader function classes.

Contribution

It introduces novel Simpson inequalities applicable to first-order differentiable functions with preinvex and prequasiinvex derivatives, expanding the scope of integral inequalities.

Findings

Derived Simpson inequalities for preinvex functions

Extended inequalities to prequasiinvex functions

Provided bounds for integrals of such functions

Abstract

In this paper, we obtain some inequalities for functions whose first derivatives in absolute value are preinvex and prequasiinvex.