An extension of a multidimensional Hilbert-type inequality

Abstract 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 equiva...

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Main Authors:	Jianhua Zhong, Bicheng Yang
Format:	Article
Language:	English
Published:	SpringerOpen 2017-04-01
Series:	Journal of Inequalities and Applications
Subjects:	Hilbert-type inequality weight coefficient equivalent form operator norm
Online Access:	http://link.springer.com/article/10.1186/s13660-017-1355-6

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spelling	doaj-b5a3b6a6b4a14a8c96cace1061d921662020-11-24T21:36:20ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-04-012017111210.1186/s13660-017-1355-6An extension of a multidimensional Hilbert-type inequalityJianhua Zhong0Bicheng Yang1Department of Mathematics, Guangdong University of EducationDepartment of Mathematics, Guangdong University of EducationAbstract 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.http://link.springer.com/article/10.1186/s13660-017-1355-6Hilbert-type inequalityweight coefficientequivalent formoperatornorm
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Jianhua Zhong Bicheng Yang
spellingShingle	Jianhua Zhong Bicheng Yang An extension of a multidimensional Hilbert-type inequality Journal of Inequalities and Applications Hilbert-type inequality weight coefficient equivalent form operator norm
author_facet	Jianhua Zhong Bicheng Yang
author_sort	Jianhua Zhong
title	An extension of a multidimensional Hilbert-type inequality
title_short	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_sort	extension of a multidimensional hilbert-type inequality
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2017-04-01
description	Abstract 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.
topic	Hilbert-type inequality weight coefficient equivalent form operator norm
url	http://link.springer.com/article/10.1186/s13660-017-1355-6
work_keys_str_mv	AT jianhuazhong anextensionofamultidimensionalhilberttypeinequality AT bichengyang anextensionofamultidimensionalhilberttypeinequality AT jianhuazhong extensionofamultidimensionalhilberttypeinequality AT bichengyang extensionofamultidimensionalhilberttypeinequality
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An extension of a multidimensional Hilbert-type inequality

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