Some Ostrowski's Type Inequalities for Functions whose Second Derivatives are s-Convex in the Second Sense and Applications

TL;DR

This paper introduces new Ostrowski-type inequalities for twice differentiable functions with s-convex second derivatives, providing theoretical bounds and applications to special means.

Contribution

It presents novel Ostrowski inequalities for functions with s-convex second derivatives, expanding the theoretical framework and practical applications.

Findings

Derived new inequalities for twice differentiable functions with s-convex second derivatives.

Established bounds applicable to special means.

Extended Ostrowski inequalities to a broader class of functions.

Abstract

Some new inequalities of Ostrowski type for twice differentiable mappings whose derivatives in absolute value are s-convex in the second sense are given.Applications for special means are also provided.