Weighted Čebyšev-Ostrqwski type integral inequalities with power means

Abstract

In this paper, we will prove some new weightedČebyšev-Ostrowski type inequalities with power mean on time scales. The results will be proved by employing the generalized version of Montgomery's identity with weights that will be proved for our purpose. As special cases, we will derive some new weighted discrete inequalities ofČebyšev-Ostrowski type which to the best of the authors' knowledge are essentially new.