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Z. T. Xie and Z. Zeng, “A Hilbert-Type Integral Inequality whose Kernel is a Homogeneous Form of De-gree-3,” Journal of Mathematical Analysis Application, Vol 339, No. 1, 2008, pp. 324-331 doi:10.1016/j.jmaa.2007.06.059

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.