文章基本信息

标题：On New Extensions of Hilbert's Integral Inequality
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作者：He Leping ; Gao Mingzhe ; Zhou Yu 等
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2008
卷号：2008
DOI：10.1155/2008/297508
出版社：Hindawi Publishing Corporation
摘要：It is shown that some new extensions of Hilbert's integral inequality with parameter 𝜆(𝜆>1/2) can be established by introducing a proper weight function. In particular, when 𝜆=1, a refinement of Hilbert's integral inequality is obtained. As applications, some new extensions of Widder's inequality and Hardy-Littlewood's inequality are given.