Hardy-type inequalities in fractional h-discrete calculus

The first power weighted version of Hardy’s inequality can be rewritten as [Formula: see text] where the constant [Formula: see text] is sharp. This inequality holds in the reversed direction when [Formula: see text] . In this paper we prove and discuss some discrete analogues of Hardy-type inequali...

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Autores principales: Persson, Lars-Erik, Oinarov, Ryskul, Shaimardan, Serikbol
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5882665/
https://www.ncbi.nlm.nih.gov/pubmed/29628749
http://dx.doi.org/10.1186/s13660-018-1662-6
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author Persson, Lars-Erik
Oinarov, Ryskul
Shaimardan, Serikbol
author_facet Persson, Lars-Erik
Oinarov, Ryskul
Shaimardan, Serikbol
author_sort Persson, Lars-Erik
collection PubMed
description The first power weighted version of Hardy’s inequality can be rewritten as [Formula: see text] where the constant [Formula: see text] is sharp. This inequality holds in the reversed direction when [Formula: see text] . In this paper we prove and discuss some discrete analogues of Hardy-type inequalities in fractional h-discrete calculus. Moreover, we prove that the corresponding constants are sharp.
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spelling pubmed-58826652018-04-05 Hardy-type inequalities in fractional h-discrete calculus Persson, Lars-Erik Oinarov, Ryskul Shaimardan, Serikbol J Inequal Appl Research The first power weighted version of Hardy’s inequality can be rewritten as [Formula: see text] where the constant [Formula: see text] is sharp. This inequality holds in the reversed direction when [Formula: see text] . In this paper we prove and discuss some discrete analogues of Hardy-type inequalities in fractional h-discrete calculus. Moreover, we prove that the corresponding constants are sharp. Springer International Publishing 2018-04-04 2018 /pmc/articles/PMC5882665/ /pubmed/29628749 http://dx.doi.org/10.1186/s13660-018-1662-6 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Persson, Lars-Erik
Oinarov, Ryskul
Shaimardan, Serikbol
Hardy-type inequalities in fractional h-discrete calculus
title Hardy-type inequalities in fractional h-discrete calculus
title_full Hardy-type inequalities in fractional h-discrete calculus
title_fullStr Hardy-type inequalities in fractional h-discrete calculus
title_full_unstemmed Hardy-type inequalities in fractional h-discrete calculus
title_short Hardy-type inequalities in fractional h-discrete calculus
title_sort hardy-type inequalities in fractional h-discrete calculus
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5882665/
https://www.ncbi.nlm.nih.gov/pubmed/29628749
http://dx.doi.org/10.1186/s13660-018-1662-6
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AT oinarovryskul hardytypeinequalitiesinfractionalhdiscretecalculus
AT shaimardanserikbol hardytypeinequalitiesinfractionalhdiscretecalculus

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