Some New Generalized Inequalities of Hardy Type Involving Several Functions on Time Scale Nabla Calculus

In this article, we establish several new generalized Hardy-type inequalities involving several functions on time-scale nabla calculus. Furthermore, we derive some new multidimensional Hardy-type inequalities on time scales nabla calculus. The main results are proved by applying Minkowski’s inequality, Jensen’s inequality and Arithmetic Mean–Geometric Mean inequality. As a special case of our results, when T = R, we obtain refinements of some well-known continuous inequalities and when T = N, the results which are essentially new.