An extension of a multidimensional Hilbert-type inequality

In this paper, by the use of weight coefficients, the transfer formula and the technique of real analysis, a new multidimensional Hilbert-type inequality with multi-parameters and a best possible constant factor is given, which is an extension of some published results. Moreover, the equivalent form...

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Detalles Bibliográficos
Autores principales: Zhong, Jianhua, Yang, Bicheng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5395605/
https://www.ncbi.nlm.nih.gov/pubmed/28479830
http://dx.doi.org/10.1186/s13660-017-1355-6
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author Zhong, Jianhua
Yang, Bicheng
author_facet Zhong, Jianhua
Yang, Bicheng
author_sort Zhong, Jianhua
collection PubMed
description In this paper, by the use of weight coefficients, the transfer formula and the technique of real analysis, a new multidimensional Hilbert-type inequality with multi-parameters and a best possible constant factor is given, which is an extension of some published results. Moreover, the equivalent forms, the operator expressions and a few particular inequalities are considered.
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spelling pubmed-53956052017-05-04 An extension of a multidimensional Hilbert-type inequality Zhong, Jianhua Yang, Bicheng J Inequal Appl Research In this paper, by the use of weight coefficients, the transfer formula and the technique of real analysis, a new multidimensional Hilbert-type inequality with multi-parameters and a best possible constant factor is given, which is an extension of some published results. Moreover, the equivalent forms, the operator expressions and a few particular inequalities are considered. Springer International Publishing 2017-04-18 2017 /pmc/articles/PMC5395605/ /pubmed/28479830 http://dx.doi.org/10.1186/s13660-017-1355-6 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
Zhong, Jianhua
Yang, Bicheng
An extension of a multidimensional Hilbert-type inequality
title An extension of a multidimensional Hilbert-type inequality
title_full An extension of a multidimensional Hilbert-type inequality
title_fullStr An extension of a multidimensional Hilbert-type inequality
title_full_unstemmed An extension of a multidimensional Hilbert-type inequality
title_short An extension of a multidimensional Hilbert-type inequality
title_sort extension of a multidimensional hilbert-type inequality
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5395605/
https://www.ncbi.nlm.nih.gov/pubmed/28479830
http://dx.doi.org/10.1186/s13660-017-1355-6
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