Some New Dynamic Inequalities Involving The Dyanamic Hardy Operator With Kernels
Abdou, D., Rezk, H., Zaghrout, A., Saker, S. (2645). Some New Dynamic Inequalities Involving The Dyanamic Hardy Operator With Kernels. EKB Journal Management System, 2024(1), -. doi: 10.58675/2636-3305.1680
Doaa M. Abdou; Haytham M. Rezk; Afaf S. Zaghrout; Samir H. Saker. "Some New Dynamic Inequalities Involving The Dyanamic Hardy Operator With Kernels". EKB Journal Management System, 2024, 1, 2645, -. doi: 10.58675/2636-3305.1680
Abdou, D., Rezk, H., Zaghrout, A., Saker, S. (2645). 'Some New Dynamic Inequalities Involving The Dyanamic Hardy Operator With Kernels', EKB Journal Management System, 2024(1), pp. -. doi: 10.58675/2636-3305.1680
Abdou, D., Rezk, H., Zaghrout, A., Saker, S. Some New Dynamic Inequalities Involving The Dyanamic Hardy Operator With Kernels. EKB Journal Management System, 2645; 2024(1): -. doi: 10.58675/2636-3305.1680

Some New Dynamic Inequalities Involving The Dyanamic Hardy Operator With Kernels

Al-Azhar Bulletin of Science
Volume 2024, Issue 1, January 2024  XML
DOI: 10.58675/2636-3305.1680
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Authors
Doaa M. Abdou1; Haytham M. Rezk2; Afaf S. Zaghrout1; Samir H. Saker3
1Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Nasr City 11884, Cairo, Egypt
2Department of Mathematics, Faculty of Science (Boys), Al-Azhar University, Nasr City 11884, Cairo, Egypt
3Department 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.
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