G. H. Hardy, “Note on a Theorem of Hilbert Concerning Series of Positive Terems,” Proceedings of London Mathematical Soci-ety, Vol. 23, No. 2, 1925, pp. 45-46.

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.