TITLE:
A Hilbert-Type Inequality with Some Parameters and the Integral in Whole Plane
AUTHORS:
Zitian Xie, Zheng Zeng
KEYWORDS:
Hilbert-Type Integral Inequality, Weight Function, Holder’s Inequality
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.1 No.3,
June
3,
2011
ABSTRACT: In this paper, by introducing some parameters and estimating the weight coefficient, we give a new Hilbert’s inequality with the integral in whole plane and with a non-homogeneous and the equivalent form is given as well. The best constant factor is calculated by the way of Complex Analysis.