Weighted Ostrowski type inequalities via Montgomery identity involving double integrals on time scales

Abstract

In this paper, the Montgomery identity is generalized for double integrals on time scales by employing a novel analytical approach to develop the generalized Ostrowski type integral inequalities involving double integrals. Some inimitable cases are discussed for different parameters and parametric functions. Moreover, applications to some particular time scales are also presented.

Keywords

• ostrowski inequalities
• montgomery identity
• time scales
• polynomials