Journal of Jishou University(Natural Sciences Edition)

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Improvement of a Half-Discrete Hilbert-Type Inequality Related to the Kernel of Arc Tangent Function

NIE Caiyun   

  1. (College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China)
  • Online:2019-01-25 Published:2019-01-26


By introducing weight function and strengthened Hlder's inequality,a more accurate semi-discrete Hardy-Hilbert-type inequality related to the kernel of arc tangent function is improved through real analysis.Some new inequalities are established.

Key words: semi-discrete, Hardy-Hilbert-type inequality, weight coefficient, Hlder's inequality

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