Multiple Hilbert's type inequalities with a homogeneous kernel

The main objective of this paper is a study of some new generalizations of Hilbert's and Hardy-Hilbert's type inequalities. We apply our general results to homogeneous functions. Also, we obtain the best possible constants when the parameters satisfy appropriate conditions. Key words and p...

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Bibliographic Details
Published inBanach journal of mathematical analysis Vol. 5; no. 2; pp. 33 - 43
Main Authors Peric, Ivan, Vukovic, Predrag
Format Journal Article
LanguageEnglish
Published Durham Springer 01.01.2011
Nature Publishing Group
Subjects
Inequalities (Mathematics)
Kernel functions
Croatia
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ISSN1735-8787
1735-8787
DOI10.15352/bjma/1313363000

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Summary:The main objective of this paper is a study of some new generalizations of Hilbert's and Hardy-Hilbert's type inequalities. We apply our general results to homogeneous functions. Also, we obtain the best possible constants when the parameters satisfy appropriate conditions. Key words and phrases. Multilinear Hilbert's inequality, homogeneous kernel, the best possible constant, conjugate exponents.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-General Information-1
content type line 14
ISSN:1735-8787
1735-8787
DOI:10.15352/bjma/1313363000