A New Hilbert-type Integral Inequality with Some Parameters and Its Reverse

  • Xie, Zitian ;
  • Yang, Bicheng
  • Received : 2006.08.28
  • Published : 2008.03.31


In this paper, by introducing some parameters and estimating the weight function, we give a new Hilbert-type integral inequality with a best constant factor. The equivalent inequality and the reverse forms are considered.


Hilbert-type integral inequality;weight function;H$\"{o}$lder's inequality;equivalent inequality;reverse form


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  1. A New Hilbert-type Inequality with the Integral in Whole Plane vol.52, pp.3, 2012,
  2. On the Hilbert Type Integral Inequalities with Some Parameters and Its Reverse vol.49, pp.4, 2009,