Journal of Jishou University(Natural Sciences Edition)

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Strengthening Half-Discrete Hilbert-Type Inequality with aGeneralized Homogeneous Kernel

NIE Caiyun   

  1. (College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China)
  • Online:2016-11-25 Published:2016-12-13


By introducing a real number homogeneous kernel and estimating the weight function through the real function techniques,by means of a sharpening of Hölder inequality,a half-discrete Hilbert-type inequality with a generalized homogeneous kernel is improved,and some new inequalities are built.

Key words: Hilbert-type inequality;weight coefficient;weight function, Hö, lder&prime, s inequality

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