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An Extension of a Hilbert-Type Inequality with the Homogeneous Kernel of Degree 0[J]. Journal of South China Normal University (Natural Science Edition), 2011, (4).
Citation: An Extension of a Hilbert-Type Inequality with the Homogeneous Kernel of Degree 0[J]. Journal of South China Normal University (Natural Science Edition), 2011, (4).

An Extension of a Hilbert-Type Inequality with the Homogeneous Kernel of Degree 0

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  • Received Date: November 23, 2010
  • Revised Date: February 19, 2011
  • By using the way of real analysis and estimating the weight coefficient, a parameter is introduced and a more accurate extension of a Hilbert-type inequality with the homogeneous kernel of positive-degree with a best constant factor is given. The strengthened versions, the equivalent forms and the reverses are considered.

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