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
Reference17 articles.
1. Notes on a theorem of Hilbert;Hardy;Math. Z.,1920
2. Notes on some points in the integral calculus, LX. An inequality between integrals;Hardy;Mess. Math.,1925
3. On Carleman and Knopp’s inequalities;Kaijser;J. Approx. Theory,2002
4. On strengthened Hardy and Pólya-Knopp’s inequalities;Cižmešija;J. Approx. Theory,2003
5. Hardy type inequalities via convexity;Kaijser;Math. Inequal. Appl.,2005
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献