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On a New Hilbert-type Integral Inequality
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  • Journal title : Kyungpook mathematical journal
  • Volume 49, Issue 2,  2009, pp.393-401
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2009.49.2.393
 Title & Authors
On a New Hilbert-type Integral Inequality
Xin, Dongmei;
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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;Hlder`s inequality;weight function;
 Cited by
The Hilbert-Type Integral Inequality with the System Kernel of-λ Degree Homogeneous Form,;;

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A New Hilbert-type Inequality with the Integral in Whole Plane,;;

Kyungpook mathematical journal, 2012. vol.52. 3, pp.291-298 crossref(new window)
A New Hilbert-type Inequality with the Integral in Whole Plane, Kyungpook mathematical journal, 2012, 52, 3, 291  crossref(new windwow)
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Bicheng Yang, On a generalization of the Hilbert's type inequality and its applications, Chinese Journal of Engineering Mathematics, 21(4)(2004), 821-824.

Bicheng Yang, Hongwei Liang, A new Hilbert-type inequality with a parameter, Journal of Henan University (Natural Science), 35(4)(2005), 4-8.

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