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