A generalization of Ostrowski inequality on time scales for k points

TL;DR

This paper extends the Ostrowski inequality to multiple points on time scales, unifying continuous and discrete cases, and presents specific inequalities as special instances.

Contribution

It generalizes Ostrowski inequality to k points on time scales and unifies continuous and discrete versions, providing new inequalities as special cases.

Findings

Generalized Ostrowski inequality for k points on time scales

Unified continuous and discrete Ostrowski inequalities

Derived specific Ostrowski type inequalities as special cases

Abstract

In this paper we first generalize the Ostrowski inequality on time scales for k points and then unify corresponding continuous and discrete versions. We also point out some particular Ostrowski type inequalities on time scales as special cases.