Some Weighted Ostrowski Type Inequalities on Time Scales Involving Combination of Weighted Delta-Integral Means

TL;DR

This paper develops new weighted Ostrowski inequalities on time scales involving combinations of weighted delta-integral means, extending classical results and providing various inequalities with potential applications in analysis.

Contribution

It introduces weighted Ostrowski inequalities on time scales involving combined weighted delta-integral means, generalizing existing inequalities and deriving new perturbed versions.

Findings

Derived weighted Ostrowski inequalities involving combined weighted delta-integral means

Established inequalities for two functions on time scales

Recaptured known results as special cases

Abstract

In this paper we obtain some weighted generalizations of Ostrowski type inequalities on time scales involving combination of weighted {\Delta}-integral means, i.e., a weighted Ostrowski type inequality on time scales involving combination of weighted {\Delta}-integral means, two weighted Ostrowski type inequalities for two functions on time scales, and some weighted perturbed Ostrowski type inequalities on time scales. We also give some other interesting inequalities and recapture some known results as special cases.