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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Bibliographic Details
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
Description
Summary:<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>
ISSN:1025-5834
1029-242X