A New Hilbert-type Integral Inequality with the Homogeneous Kernel of 1/2 Degree Form and the Integral in Whole Plane

Vol. 1 No. 1

Year : 2012

Issue : Jan-Mar

Title  : A New Hilbert-type Integral Inequality with the Homogeneous Kernel of 1/2 Degree Form and the Integral in Whole Plane 

Author Name  : Xie Zitian, Zheng Zeng 

Synopsis  : 

In this paper, the authors build a new Hilbert's inequality with the homogeneous kernel of 1/2 order and the integral in whole plane. The equivalent inequality is considered. The best constant factor is calculated using Complex Analysis.