On a New Hilbert-type Integral Inequality

Xin, Dongmei

  • Received : 2008.09.19
  • Accepted : 2009.01.09
  • Published : 2009.06.30


By introducing a parameter and estimating the weight coefficient, we obtain a new Hilbert-type integral inequality with a composite kernel and a best constant factor. As applications, we also consider its equivalent forms and reverse forms.


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


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  1. A New Hilbert-type Inequality with the Integral in Whole Plane vol.52, pp.3, 2012,