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Journal of Inequalities and Applications

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Research Article
Open Access

Best constants for certain multilinear integral operators

Journal of Inequalities and Applications20062006:28582

https://doi.org/10.1155/JIA/2006/28582

©  Bényi and Oh 2006

Received: 7 December 2004

Accepted: 27 March 2005

Published: 28 February 2006

Abstract

We provide explicit formulas in terms of the special function gamma for the best constants in nontensorial multilinear extensions of some classical integral inequalities due to Hilbert, Hardy, and Hardy-Littlewood-Pólya.

Keywords

Special FunctionIntegral OperatorExplicit FormulaFunction GammaIntegral Inequality

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Authors’ Affiliations

(1)
Department of Mathematics, Western Washington University, Bellingham, USA
(2)
Department of Mathematics and Statistics, Lederle GRT, University of Massachusetts, Amherst, USA

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Copyright

© Bényi and Oh 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.