Hardy’s Type Integral Inequalities on Time Scales

Authors

S. H. Saker, Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptFollow
Donal O’Regan, School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, IrelandFollow

Author Country (or Countries)

Egypt

Abstract

In this paper, we prove some new integral inequalities of Hardy’s type on time scales. The Hardy inequalities have many applications especially in proving the boundedness Ces`aro operators. The main results will be proved by making use of some algebraic inequalities, the H¨older inequality and a simple consequence of Keller’s chain rule on time scales. The discrete inequalities that we will derive from our results in the discrete time scales are essentially new.

Recommended Citation

H. Saker, S. and O’Regan, Donal (2015) "Hardy’s Type Integral Inequalities on Time Scales," Applied Mathematics & Information Sciences: Vol. 09: Iss. 6, Article 23.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss6/23