Original Article
Kyungpook Mathematical Journal 2008; 48(1): 93-100
Published online March 23, 2008
Copyright © Kyungpook Mathematical Journal.
A New Hilbert-type Integral Inequality with Some Parameters and Its Reverse
Zitian Xie1, Bicheng Yang2
1Dept. of Math. Zhaoqing University, Zhaoqing, Guangdong, 526061, P. R. China
2Dept. of Math. Guangdong Education Institute, Guangzhou, Guangdong, 510303, P. R. China
In this paper, by introducing some parameters and estimating the weight function, we give a new Hilbert-type integral inequality with a best constant factor. The equivalent inequality and the reverse forms are considered.
Keywords: Hilbert-type integral inequality, weight function, H"older's inequality, equivalent inequality, reverse form