Hardy–Leindler Type Inequalities on Time Scales

Authors

S. H. Saker, Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

In this paper, we will prove some new dynamic inequalities on a time scale T. These inequalities, as special cases, when T = R contain some integral inequalities and when T = N contain the discrete inequalities due to Leindler. The main results will be proved by using the H¨older inequality and a simple consequence of Keller’s chain rule on time scales. From our results, as applications, we will derive some new continuous and discrete Wirtinger type inequalities. The technique in this paper is completely different from the technique used by Leindler to prove his main results.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080635

Recommended Citation

H. Saker, S. (2014) "Hardy–Leindler Type Inequalities on Time Scales," Applied Mathematics & Information Sciences: Vol. 08: Iss. 6, Article 35.
DOI: http://dx.doi.org/10.12785/amis/080635
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss6/35