A new generalization of Ostrowski type inequality on time scales

TL;DR

This paper extends Ostrowski type inequalities on time scales for functions with bounded derivatives, unifying continuous and discrete cases, and introduces related integral inequalities as special cases.

Contribution

It provides a new generalization of Ostrowski inequalities on time scales, unifying continuous and discrete forms, and identifies particular integral inequalities as special cases.

Findings

Unified continuous and discrete Ostrowski inequalities.

Derived new integral inequalities on time scales.

Extended inequalities for functions with bounded derivatives.

Abstract

In this paper we first extend a generalization of Ostrowski type inequality on time scales for functions whose derivatives are bounded and then unify corresponding continuous and discrete versions. We also point out some particular integral type inequalities on time scales as special cases.