Some Companions of Ostrowski type inequality for functions whose second derivatives are convex and concave with applications

TL;DR

This paper develops new Ostrowski type inequalities for functions with convex or concave second derivatives and applies these results to special means, expanding the theoretical framework of inequalities.

Contribution

It introduces companions of Ostrowski inequalities for functions with convex or concave second derivatives, providing new bounds and applications.

Findings

Derived new Ostrowski type inequalities for convex and concave second derivatives.

Provided applications to special means demonstrating the inequalities' utility.

Extended the theoretical understanding of inequalities for specific function classes.

Abstract

In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute value are convex and concave.Finally, we gave some applications for special means.