Some generalizations of reverse Hardy-type inequalities via Jensen integral inequality on time scales

Authors

Samer Makharesh, Department of Mathematics, Faculty of Science (Boys), Al-Azhar University, Nasr City (11884), Cairo, Egypt.Follow
Hassan El-Owaidy, Department of Mathematics, Faculty of Science (Boys), Al-Azhar University, Nasr City (11884), Cairo, Egypt.Follow
Ahmed El-Deeb, Department of Mathematics, Faculty of Science (Boys), Al-Azhar University, Nasr City (11884), Cairo, Egypt.Follow

Corresponding Author

El-Deeb, Ahmed

Document Type

Original Article

Subject Areas

Mathematics, Statistics, Computer Science, Physics and Astronomy

Keywords

Dynamic inequality; Hardy inequality; Time scale

Abstract

In this article, we will obtain some new dynamic inequalities of Hardy-type on time scales. Our results will be proved by using H lder's inequality and Jensen's inequality. We will apply the main results to the continuous calculus and discrete calculus as special cases.

How to Cite This Article

Makharesh, Samer; El-Owaidy, Hassan; and El-Deeb, Ahmed (2022) "Some generalizations of reverse Hardy-type inequalities via Jensen integral inequality on time scales," Al-Azhar Bulletin of Science: Vol. 33: Iss. 2, Article 5.
DOI: https://doi.org/10.21608/absb.2022.151322.1198