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On a Relation to Hilbert's Integral Inequality and a Hilbert-Type Inequality
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  • Journal title : Kyungpook mathematical journal
  • Volume 49, Issue 3,  2009, pp.563-572
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2009.49.3.563
 Title & Authors
On a Relation to Hilbert's Integral Inequality and a Hilbert-Type Inequality
Yang, Bicheng;
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 Abstract
In this paper, by introducing some parameters and using the way of weight function, a new integral inequality with a best constant factor is given, which is a relation between Hilbert's integral inequality and a Hilbert-type inequality. As applications, the equivalent form, the reverse forms and some particular inequalities are considered.
 Keywords
Hilbert's integral inequality;weight function;H-L-P inequality;
 Language
English
 Cited by
1.
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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