Equivalent property of a half-discrete Hilbert’s inequality with parameters

By using the weight functions and the idea of introducing parameters, a half-discrete Hilbert inequality with a nonhomogeneous kernel and its equivalent form are given. The equivalent statements of the constant factor are best possible related to parameters, and some particular cases are considered....

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Detalles Bibliográficos
Autores principales: Huang, Zhenxiao, Yang, Bicheng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6290664/
https://www.ncbi.nlm.nih.gov/pubmed/30839815
http://dx.doi.org/10.1186/s13660-018-1926-1
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author Huang, Zhenxiao
Yang, Bicheng
author_facet Huang, Zhenxiao
Yang, Bicheng
author_sort Huang, Zhenxiao
collection PubMed
description By using the weight functions and the idea of introducing parameters, a half-discrete Hilbert inequality with a nonhomogeneous kernel and its equivalent form are given. The equivalent statements of the constant factor are best possible related to parameters, and some particular cases are considered. The cases of a homogeneous kernel are also deduced.
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spelling pubmed-62906642018-12-27 Equivalent property of a half-discrete Hilbert’s inequality with parameters Huang, Zhenxiao Yang, Bicheng J Inequal Appl Research By using the weight functions and the idea of introducing parameters, a half-discrete Hilbert inequality with a nonhomogeneous kernel and its equivalent form are given. The equivalent statements of the constant factor are best possible related to parameters, and some particular cases are considered. The cases of a homogeneous kernel are also deduced. Springer International Publishing 2018-12-06 2018 /pmc/articles/PMC6290664/ /pubmed/30839815 http://dx.doi.org/10.1186/s13660-018-1926-1 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
Huang, Zhenxiao
Yang, Bicheng
Equivalent property of a half-discrete Hilbert’s inequality with parameters
title Equivalent property of a half-discrete Hilbert’s inequality with parameters
title_full Equivalent property of a half-discrete Hilbert’s inequality with parameters
title_fullStr Equivalent property of a half-discrete Hilbert’s inequality with parameters
title_full_unstemmed Equivalent property of a half-discrete Hilbert’s inequality with parameters
title_short Equivalent property of a half-discrete Hilbert’s inequality with parameters
title_sort equivalent property of a half-discrete hilbert’s inequality with parameters
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6290664/
https://www.ncbi.nlm.nih.gov/pubmed/30839815
http://dx.doi.org/10.1186/s13660-018-1926-1
work_keys_str_mv AT huangzhenxiao equivalentpropertyofahalfdiscretehilbertsinequalitywithparameters
AT yangbicheng equivalentpropertyofahalfdiscretehilbertsinequalitywithparameters

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