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On an Extended Hardy-Hilbert''s Inequality in the Whole Plane
Bicheng Yang
Keywords:Hardy-Hilbert''s inequality; Hermite-Hadamard''s inequality; weight coefficient; equivalent form; operator expression
Abstract:
      By means of weight coefficients, a complex integral formula and Hermite-Hadamard''s inequality, a new extended Hardy-Hilbert''s inequality in the whole plane with multi-parameters and a best possible constant factor is given. The equivalent forms, the operator expressions and a few particular cases are considered.