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

Baoju Sun

 Zhejiang Water Conservancy and Hydropower College, Zhejiang University, Hangzhou 310018, China
Received 9 February 2007; Accepted 29 April 2007

Recommended by Eugene H. Dshalalow

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.