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 Holder's inequality.