Time-Scale Integral Inequalities of Copson with Steklov Operator in High Dimension

Abstract

The paper derives some new time-scale (TS) dynamic inequalities for multiple integrals. The obtained inequalities are special cases of Copson integral using Steklov operator in (TS) version with high dimension. We prove the inequalities with several formulas for the operator and in different cases $m>\mu +1$ and $m<\mu +1$ for every $\mu \ge 1$ , using time-scales (TSs) setting for integral properties, chain rules, Fubini’s theorem, and Hölder’s inequality.