Generalized weighted Ostrowski and Ostrowski-Gruss type inequalities on time scales via a parameter function

摘要

We prove generalized weighted Ostrowski and Ostrowski–Gr ¨uss type inequalities ontime scales via a parameter function. In particular, our result extends a result of Dragomir andBarnett. Furthermore, we apply our results to the continuous, discrete, and quantum cases, toobtain some interesting new inequalities