A Hilbert-type integral inequality with the homogeneous kernel of - 4-order

By introducing two parameters and using the way of weight function, a Hilbert-type integral inequality is established with the homogeneous kernel of - 4-order and the equivalent form is given. It is proved that the constant factor is the best. The reverse inequalities and some particular results are...

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Bibliographic Details
Published inZhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Vol. 36; no. 1; pp. 12 - 16
Main Author Ge, Xiao-Kui
Format Journal Article
LanguageChinese
Published Zhejiang University Press 01.01.2009
Subjects
hilbert型积分不等式
最佳常数因子
权函数
等价式
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ISSN1008-9497
DOI10.3785/j.issn.1008-9497.2009.01.003

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Summary:By introducing two parameters and using the way of weight function, a Hilbert-type integral inequality is established with the homogeneous kernel of - 4-order and the equivalent form is given. It is proved that the constant factor is the best. The reverse inequalities and some particular results are given for application.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:1008-9497
DOI:10.3785/j.issn.1008-9497.2009.01.003