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On an Extended Hardy-Hilbert's Inequality in the Whole Plane
Zhaohui Gu,Bicheng Yang
Keywords:Hardy-Hilbert's inequality; parameter; weight coefficient; equivalent form; operator expression
Abstract:
      By introducing independent parameters and applying the weight coefficients, we give an extended Hardy-Hilbert's inequality in the whole plane with a best possible constant factor. Furthermore, the equivalent forms, a few particular cases and the operator expressions are considered.