Author(s)

Zitian Xie, Zheng Zeng

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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.

Hilbert-Type Integral Inequality, Weight Function, Holder’s Inequality

Z. Xie and Z. Zeng, "A Hilbert-Type Inequality with Some Parameters and the Integral in Whole Plane," Advances in Pure Mathematics, Vol. 1 No. 3, 2011, pp. 84-89. doi: 10.4236/apm.2011.13019.