# Certain Ostrowski type inequalities for generalized s-convex functions

## TL;DR

This paper derives new Ostrowski type inequalities for functions with generalized s-convex second derivatives, expanding the scope of integral inequalities in mathematical analysis.

## Contribution

It introduces a generalized integral identity and establishes novel Ostrowski inequalities for functions with second derivatives that are generalized s-convex in the second sense.

## Key findings

- New Ostrowski type inequalities for generalized s-convex functions
- Generalized integral identity for twice differentiable functions
- Extensions of inequalities to broader classes of functions

## Abstract

In this paper, we first obtain a generalized integral identity for twice local differentiable functions. Then, using functions whose second derivatives in absolute value at certain powers are generalized s convex in the second sense, we obtain some new Ostrowski type inequalities.