A parameter-based Ostrowski-Grüss type inequalities with multiple points for derivatives bounded by functions on time scales (Q2337294)

Summary: In this paper, we present some Ostrowski-Grüss-type inequalities on time scales for functions whose derivatives are bounded by functions for \(k\) points via a parameter. The 2D versions of these inequalities are also presented. Our results generalize some of the results in the literature. As a by-product, we apply our results to the continuous and discrete calculus to obtain some interesting inequalities in this direction.