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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)
G. H. Hardy, J. E. Littlewood, G. Polya, Inequalities, Cambridge University Press, Cambridge, UK, 1952.

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.

Bicheng Yang, On the norm of an integral operator and applications, J. Math. Anal. Appl., 321(2006), 182-192. crossref(new window)

ZhuxiWang, Dunrin Guo, An introduction to special functions, Science Press, Beijing, 1979.

Jichang Kuang, Applied inequalities. Shangdong Science and Technology, Press, Jinan, 2004.