Some New Dynamic Inequalities Involving The Dyanamic Hardy Operator With Kernels

Authors

1 Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Nasr City 11884, Cairo, Egypt

2 Department of Mathematics, Faculty of Science (Boys), Al-Azhar University, Nasr City 11884, Cairo, Egypt

3 Department of Mathematics, Faculty of Science, New Mansoura University, New Mansoura City, Egypt

Abstract

In this article, by using dynamic Jensen’s inequality and its reverse, we prove some forms of dynamic inequalities involving the dynamic Hardy’s operator. As special cases of our results, we obtain refinements of some well-known Hardy-type inequalities and Hardy-Hilbert’s inequality for double integrals. Our findings are the generalization of some results in the literature.
Al-Azhar Bulletin of Science
Volume 2024, Issue 1
January and February 2024

Files

Share

How to cite

Statistics