A unified approach to dynamic Hardy-type and Copson-type inequalities
type: Item
instance of: scholarly article
title: A unified approach to dynamic Hardy-type and Copson-type inequalities
zbMATH Open document ID: 1482.26041
author: S. H. Saker
author: Ramy. R. Mahmoud
author: Khadega R. Abdo
author: Mario Krnić
published in: Bulletin des Sciences Mathématiques
publication date: 2022-01-28T00:00:00Z
review text: The authors obtain some dynamic Hardy-type and Copson-type inequalities on time scales. Their main results relay on the Hölder inequality, the variant of the Fubini theorem and the power rules of integration on time scales. These results extent the known ones from the references.
reviewed by: Wengui Yang
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 34A40
Mathematics Subject Classification ID: 34N05
zbMATH DE Number: 7465719
zbMATH Keywords: Hardy inequality
zbMATH Keywords: Copson inequality
zbMATH Keywords: Hölder inequality
zbMATH Keywords: time scales
zbMATH Keywords: chain rule
MaRDI profile type: Publication
full work available at URL: j.bulsci.2021.103089
OpenAlex ID: W3213074928
cites work: Hardy Type Inequalities on Time Scales
cites work: Q3871111
cites work: Minkowski and Beckenbach-Dresher inequalities and functionals on time scales
cites work: Q2723195
cites work: Multivariable Dynamic Calculus on Time Scales
cites work: Q4797834
cites work: Unifying inequalities of Hardy, Copson, and others
cites work: Some Extensions of Hardy's Inequality
cites work: 13.—Some Integral Inequalities
cites work: A Hardy-type inequality and its applications
cites work: Q5812325
cites work: Q4784073
cites work: Q5439977
cites work: Application of Davies–Petersen Lemma
cites work: Q5601561
cites work: Generalizations of an inequality of Hardy
cites work: Q4971106
cites work: Q3997067
cites work: A note on certain inequalities related to Hardy's inequality
cites work: Hardy inequality on time scales and its application to half-linear dynamic equations
cites work: Weighted Hardy-type inequalities on time scales with applications
cites work: Extensions of Dynamic Inequalities of Hardy’s Type on Time Scales
cites work: Generalized Hardy, Copson, Leindler and Bennett inequalities on time scales
cites work: Dynamic inequalities of Hardy and Copson type on time scales
cites work: Levinson type inequalities and their extensions via convexity on time scales
DOI: 10.1016/J.BULSCI.2021.103089
description: scientific article; zbMATH DE number 7465719