Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 71049, 14 pages
doi:10.1155/2007/71049
Research Article
A Multiple Hilbert-Type Integral Inequality with the Best
Constant Factor
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.
Abstract
By introducing the norm ‖x‖α(x∈ℝ) 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.