Hilbert's Type Linear Operator and Some Extensions of Hilbert's Inequality

<p/> <p>The norm of a Hilbert's type linear operator <inline-formula><graphic file="1029-242X-2007-082138-i1.gif"/></inline-formula> is given. As applications, a new generalizations of Hilbert integral inequality, and the result of series analogues are gi...

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Main Authors: Wang Zhiping, He Bing, Li Yongjin
Format: Article
Language:English
Published: SpringerOpen 2007-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2007/082138
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author Wang Zhiping
He Bing
Li Yongjin
author_facet Wang Zhiping
He Bing
Li Yongjin
author_sort Wang Zhiping
collection DOAJ
description <p/> <p>The norm of a Hilbert's type linear operator <inline-formula><graphic file="1029-242X-2007-082138-i1.gif"/></inline-formula> is given. As applications, a new generalizations of Hilbert integral inequality, and the result of series analogues are given correspondingly.</p>
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1029-242X
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spelling doaj.art-bf9eef3ad8ec4cdaa08149bb548727f22022-12-21T23:55:03ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2007-01-0120071082138Hilbert's Type Linear Operator and Some Extensions of Hilbert's InequalityWang ZhipingHe BingLi Yongjin<p/> <p>The norm of a Hilbert's type linear operator <inline-formula><graphic file="1029-242X-2007-082138-i1.gif"/></inline-formula> is given. As applications, a new generalizations of Hilbert integral inequality, and the result of series analogues are given correspondingly.</p>http://www.journalofinequalitiesandapplications.com/content/2007/082138
spellingShingle Wang Zhiping
He Bing
Li Yongjin
Hilbert's Type Linear Operator and Some Extensions of Hilbert's Inequality
Journal of Inequalities and Applications
title Hilbert's Type Linear Operator and Some Extensions of Hilbert's Inequality
title_full Hilbert's Type Linear Operator and Some Extensions of Hilbert's Inequality
title_fullStr Hilbert's Type Linear Operator and Some Extensions of Hilbert's Inequality
title_full_unstemmed Hilbert's Type Linear Operator and Some Extensions of Hilbert's Inequality
title_short Hilbert's Type Linear Operator and Some Extensions of Hilbert's Inequality
title_sort hilbert s type linear operator and some extensions of hilbert s inequality
url http://www.journalofinequalitiesandapplications.com/content/2007/082138
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