Time Scale Inequalities of the Ostrowski Type for Functions Differentiable on the Coordinates

Abstract

In 2016, some inequalities of the Ostrowski type for functions (of two variables) differentiable on the coordinates were established. In this paper, we extend these results to an arbitrary time scale by means of a parameter $\lambda \in \left[\mathrm{0,1}\right]$. The aforementioned results are regained for the case when the time scale $\mathbb{T}=\mathbb{R}$. Besides extension, our results are employed to the continuous and discrete calculus to get some new inequalities in this direction.