Patterns of Time Scale Dynamic Inequalities Settled by Kantorovich's Ratio

Abstract

In this research article, we present an interesting generalization of dynamic Kantorovich’s inequality and investigate the additive versions of some dynamic inequalities on time scales. The time scale dynamic inequalities extend and unify some continuous inequalities and their corresponding discrete versions.

Key words and phrases. Time scales, dynamic inequalities, Kantorovich’s ratio.

2010 Mathematics Subject Classification. 26D15, 26D20, 34N05