Hardy type inequalities in [Formula: see text] with sharp remainders

Sharp remainder terms are explicitly given on the standard Hardy inequalities in [Formula: see text] with [Formula: see text] . Those remainder terms provide a direct and exact understanding of Hardy type inequalities in the framework of equalities as well as of the nonexistence of nontrivial extrem...

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Autores principales: Ioku, Norisuke, Ishiwata, Michinori, Ozawa, Tohru
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5209440/
https://www.ncbi.nlm.nih.gov/pubmed/28111505
http://dx.doi.org/10.1186/s13660-016-1271-1
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author Ioku, Norisuke
Ishiwata, Michinori
Ozawa, Tohru
author_facet Ioku, Norisuke
Ishiwata, Michinori
Ozawa, Tohru
author_sort Ioku, Norisuke
collection PubMed
description Sharp remainder terms are explicitly given on the standard Hardy inequalities in [Formula: see text] with [Formula: see text] . Those remainder terms provide a direct and exact understanding of Hardy type inequalities in the framework of equalities as well as of the nonexistence of nontrivial extremals.
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spelling pubmed-52094402017-01-18 Hardy type inequalities in [Formula: see text] with sharp remainders Ioku, Norisuke Ishiwata, Michinori Ozawa, Tohru J Inequal Appl Research Sharp remainder terms are explicitly given on the standard Hardy inequalities in [Formula: see text] with [Formula: see text] . Those remainder terms provide a direct and exact understanding of Hardy type inequalities in the framework of equalities as well as of the nonexistence of nontrivial extremals. Springer International Publishing 2017-01-03 2017 /pmc/articles/PMC5209440/ /pubmed/28111505 http://dx.doi.org/10.1186/s13660-016-1271-1 Text en © The Author(s) 2017 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
Ioku, Norisuke
Ishiwata, Michinori
Ozawa, Tohru
Hardy type inequalities in [Formula: see text] with sharp remainders
title Hardy type inequalities in [Formula: see text] with sharp remainders
title_full Hardy type inequalities in [Formula: see text] with sharp remainders
title_fullStr Hardy type inequalities in [Formula: see text] with sharp remainders
title_full_unstemmed Hardy type inequalities in [Formula: see text] with sharp remainders
title_short Hardy type inequalities in [Formula: see text] with sharp remainders
title_sort hardy type inequalities in [formula: see text] with sharp remainders
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5209440/
https://www.ncbi.nlm.nih.gov/pubmed/28111505
http://dx.doi.org/10.1186/s13660-016-1271-1
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AT ishiwatamichinori hardytypeinequalitiesinformulaseetextwithsharpremainders
AT ozawatohru hardytypeinequalitiesinformulaseetextwithsharpremainders

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