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On a New Hilbert-type Integral Inequality

• 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;

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;H$\small{\"{o}}$lder`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
2.
A New Hilbert-type Inequality with the Integral in Whole Plane,;;

Kyungpook mathematical journal, 2012. vol.52. 3, pp.291-298
1.
A New Hilbert-type Inequality with the Integral in Whole Plane, Kyungpook mathematical journal, 2012, 52, 3, 291
References
1.
G. H. Hardy, J. E. Littlewood, G. Polya, Inequalities, Cambridge University Press, Cambridge, UK, 1952.

2.
Bicheng Yang, On a generalization of the Hilbert's type inequality and its applications, Chinese Journal of Engineering Mathematics, 21(4)(2004), 821-824.

3.
Bicheng Yang, Hongwei Liang, A new Hilbert-type inequality with a parameter, Journal of Henan University (Natural Science), 35(4)(2005), 4-8.

4.
Bicheng Yang, On the norm of an integral operator and applications, J. Math. Anal. Appl., 321(2006), 182-192.

5.
ZhuxiWang, Dunrin Guo, An introduction to special functions, Science Press, Beijing, 1979.

6.
Jichang Kuang, Applied inequalities. Shangdong Science and Technology, Press, Jinan, 2004.