Abstract
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.
Funder
Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
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