Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 71049, 14 pages
Research Article

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

Baoju Sun

Zhejiang Water Conservancy and Hydropower College, Zhejiang University, Hangzhou 310018, China

Received 9 February 2007; Accepted 29 April 2007

Academic Editor: Eugene H. Dshalalow

Copyright © 2007 Baoju Sun. 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.


By introducing the norm xα(x) and two parameters α, λ, we give a multiple Hilbert-type integral inequality with a best possible constant factor. Also its equivalent form is considered.