Z. T. Xie and X. D. Liu, “A New Hilbert-Type Integral Inequality and its Reverse,” Journal of Henan University, (Science Edition), Vol. 39, No. 1, 2009, pp. 10-13.
has been cited by the following article:
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.