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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

  • Received: 7 December 2004
  • Accepted: 27 March 2005
  • Published:

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 Function
  • Integral Operator
  • Explicit Formula
  • Function Gamma
  • Integral Inequality

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Authors’ Affiliations

(1)
Department of Mathematics, Western Washington University, 516 High Street, Bellingham, WA 98225-9063, USA
(2)
Department of Mathematics and Statistics, Lederle GRT, University of Massachusetts, Amherst, MA 01003-9305, 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.

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