Some Companions of Ostrowski type inequality for s-convex and s-concave functions with applications

TL;DR

This paper develops new Ostrowski type inequalities for functions with s-convex or s-concave second derivatives, expanding the theoretical framework and providing potential applications in analysis.

Contribution

It introduces companions of Ostrowski inequalities specifically for absolutely continuous functions with s-convex or s-concave second derivatives, a novel extension in the field.

Findings

Derived new inequalities for s-convex functions

Extended Ostrowski inequalities to s-concave functions

Potential applications in approximation theory

Abstract

In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute value are s-convex and s-concave.