Open Access

A Multiple Hilbert-Type Integral Inequality with the Best Constant Factor

Journal of Inequalities and Applications20072007:071049

DOI: 10.1155/2007/71049

Received: 9 February 2007

Accepted: 29 April 2007

Published: 17 June 2007

Abstract

By introducing the norm https://static-content.springer.com/image/art%3A10.1155%2F2007%2F71049/MediaObjects/13660_2007_Article_1729_IEq1_HTML.gif https://static-content.springer.com/image/art%3A10.1155%2F2007%2F71049/MediaObjects/13660_2007_Article_1729_IEq2_HTML.gif and two parameters https://static-content.springer.com/image/art%3A10.1155%2F2007%2F71049/MediaObjects/13660_2007_Article_1729_IEq3_HTML.gif , https://static-content.springer.com/image/art%3A10.1155%2F2007%2F71049/MediaObjects/13660_2007_Article_1729_IEq4_HTML.gif , we give a multiple Hilbert-type integral inequality with a best possible constant factor. Also its equivalent form is considered.

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Authors’ Affiliations

(1)
Zhejiang Water Conservancy and Hydropower College, Zhejiang University

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Copyright

© Baoju Sun. 2007

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.