Dynamic Inequalities in Quotients with General Kernels and Measures-Reference-Cited by-同舟云学术

Dynamic Inequalities in Quotients with General Kernels and Measures

Published:2020-08-03 Issue: Volume:2020 Page:1-12
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

El-Hamid H. A. Abd¹,Rezk H. M.²,Ahmed A. M.²³^ORCID,AlNemer Ghada⁴^ORCID,Zakarya M.⁵⁶^ORCID,El Saify H. A.¹

Affiliation:

1. Department of Mathematics and Computer Science, Faculty of Science, Beni-Suef University, Beni Suef, Egypt

2. Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Egypt

3. Mathematics Department, College of Science, Jouf University, Sakaka (2014), Saudi Arabia

4. Department of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 105862, Riyadh 11656, Saudi Arabia

5. King Khalid University, College of Science, Department of Mathematics, P.O. Box 9004, 61413 Abha, Saudi Arabia

6. Department of Mathematics, Faculty of Science, Al-Azhar University, 71524 Assiut, Egypt

Abstract

By utilizing the precepts related to the punctuation of time scales T, we present some nouveau forms in quotients for Hardy’s and related inequalities on time scales. In particular, some recent results for the Pólya-Knopp, Hardy-Hilbert, and Hardy-Littlewood-Pólya-type inequalities are presented.

Funder

Princess Nourah Bint Abdulrahman University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2020/5417084.pdf

Reference24 articles.

1. Über Reihen Mit Positiven Gliedern

2. On Carleman and Knopp's Inequalities

3. On strengthened Hardy and Pólya–Knopp's inequalities