International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 486127, 11 pages
Research Article

A Hilbert Integral-Type Inequality with Parameters

Department of Mathematics and Computer Science, Normal College of Jishou University, Hunan Jishou 416000, China

Received 15 March 2010; Revised 9 April 2010; Accepted 14 April 2010

Academic Editor: Feng Qi

Copyright © 2010 Shang Xiaozhou and Gao Mingzhe. 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.


A Hilbert-type integral inequality with parameters α and (α,λ>0) can be established by introducing a nonhomogeneous kernel function. And the constant factor is proved to be the best possible. And then some important and especial results are enumerated. As applications, some equivalent forms are studied.