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http://dx.doi.org/10.5666/KMJ.2012.52.3.291

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

Xie, Zitian (Department of Mathematics, Zhaoqing University)
Zeng, Zheng (Department of Mathematics, Shaoguan University)
Publication Information
Kyungpook Mathematical Journal / v.52, no.3, 2012 , pp. 291-298 More about this Journal
Abstract
In this paper, by estimating the weight function, we give a new Hilbert-type inequality with the integral in whole plane. As its applications, we consider the equivalent and a particular result.
Keywords
Hilbert-type integral inequality; weight function; H$\ddot{o}$lder's inequality; equivalent form;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
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1 Xie Zitian, A New Hilbert-type integral inequality with the homogeneous kernel of real number-degree, Journal of Jishou University(Natturnal Science Edition), 32(4)(2011), 26-30.
2 Bicheng Yang, A Hilbert-type with a mixed kemel and extensions, Journal of Sichuan Normal University(Natural Science), 31(3)(2008), 281-284.
3 Zheng Zeng and Zitian Xie, A new Hilbert-type integral inequality with a best constant factor, Journal of South China Normal University (Natural Science Edition), 3(2010), 31-33
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5 Zitian Xie, Bicheng Yang, Zheng Zeng, A New Hilbert-type integral inequality with the homogeneous kernel of real number-degree, Journal of Jilin University(Science Edition), 48(6)(2010), 941-945.
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7 Dongmei Xin, On a Hilbert-type integral inequality, Kyungpook Mathematical Journal, 49(2009), 393-401.   DOI   ScienceOn
8 Zitian Xie and Xingdong Liu, A new Hilbert-type integral inequality and its reverse, Journal of Henan University (Science Edition), 39(1)(2009), 10-13.
9 Zheng Zeng and Zitian Xie, A new Hilbert-type integral inequality with a best constant factor, Journal of South China Normal University (Natural Science Edition), 3(2010), 31-33.
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12 Xie Zitian, Zeng Zheng, A Hilbert-type integral inequality with the homogeneous ker- nel of real number-degree and its equivalent, Journal of Zhejiang University (Science Edition).
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