One-dimensional differential Hardy inequality

We establish necessary and sufficient conditions for the one-dimensional differential Hardy inequality to hold, including the overdetermined case. The solution is given in terms different from those of the known results. Moreover, the least constant for this inequality is estimated.

Detalles Bibliográficos
Autor principal: Kalybay, Aigerim
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5242431/
https://www.ncbi.nlm.nih.gov/pubmed/28163546
http://dx.doi.org/10.1186/s13660-017-1293-3
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author Kalybay, Aigerim
author_facet Kalybay, Aigerim
author_sort Kalybay, Aigerim
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description We establish necessary and sufficient conditions for the one-dimensional differential Hardy inequality to hold, including the overdetermined case. The solution is given in terms different from those of the known results. Moreover, the least constant for this inequality is estimated.
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spelling pubmed-52424312017-02-01 One-dimensional differential Hardy inequality Kalybay, Aigerim J Inequal Appl Research We establish necessary and sufficient conditions for the one-dimensional differential Hardy inequality to hold, including the overdetermined case. The solution is given in terms different from those of the known results. Moreover, the least constant for this inequality is estimated. Springer International Publishing 2017-01-17 2017 /pmc/articles/PMC5242431/ /pubmed/28163546 http://dx.doi.org/10.1186/s13660-017-1293-3 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
Kalybay, Aigerim
One-dimensional differential Hardy inequality
title One-dimensional differential Hardy inequality
title_full One-dimensional differential Hardy inequality
title_fullStr One-dimensional differential Hardy inequality
title_full_unstemmed One-dimensional differential Hardy inequality
title_short One-dimensional differential Hardy inequality
title_sort one-dimensional differential hardy inequality
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5242431/
https://www.ncbi.nlm.nih.gov/pubmed/28163546
http://dx.doi.org/10.1186/s13660-017-1293-3
work_keys_str_mv AT kalybayaigerim onedimensionaldifferentialhardyinequality

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