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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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 Abstract
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.
 Keywords
Hilbert-type integral inequality;Hlder`s inequality;weight function;
 Language
English
 Cited by
1.
The Hilbert-Type Integral Inequality with the System Kernel of-λ Degree Homogeneous Form,;;

Kyungpook mathematical journal, 2010. vol.50. 2, pp.297-306 crossref(new window)
2.
A New Hilbert-type Inequality with the Integral in Whole Plane,;;

Kyungpook mathematical journal, 2012. vol.52. 3, pp.291-298 crossref(new window)
1.
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 the norm of an integral operator and applications, J. Math. Anal. Appl., 321(2006), 182-192. crossref(new window)

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