Two Ostrowski-Grüss type inequalities for k points with a parameter [Formula: see text] are hereby presented. The first generalizes a recent result due to Nwaeze and Tameru, and the second extends the result of Liu et al. to k points. Many new interesting inequalities can be derived as special cases of our results by considering different values of λ and [Formula: see text]. In addition, we apply our results to the continuous, discrete, and quantum time scales to obtain several novel inequalities in this direction.
Keywords: Grüss inequality; Montgomery identity; Ostrowski’s inequality; k points; time scales.