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《Journal of Neijiang Normal University》 2009-10
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A Generalization of the Reverse Hardy-Hilbert's Integral Inequality

CHEN Guang-sheng (Department of Computer Engineering,Hechi Vocational College,Hechi,Guangxi 547000,China)  
By introduction of two parameters M0 and N0,and the use of β function and weight function,an extension of the reverse Hardy-Hilbert's integral inequality is put forth.As applications,some equivalent forms and particular results are also established.
【Fund】: 国家自然科学资金资助项目(10361003);; 广西区教育厅资金资助项目(200607LX010)
【CateGory Index】: O178
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【References】
Chinese Journal Full-text Database 1 Hits
1 TANG Hui-yu,CHEN Guang-sheng,WEI Zhu-wen,WEI Yin-mu(Department of Construction and Information Engineering,Guangxi Modern Vocational Technology College,Hechi,Guangxi 547000,China);On the Norm of a New and Genegral Hilbert’s Type Singular Integral Operator[J];Journal of Neijiang Normal University;2013-04
【Citations】
Chinese Journal Full-text Database 2 Hits
1 YANG Bi-cheng(Department of Mathematics,Guangdong Education College,Guangzhou 510303,China);On a reverse of Hardy-Hilbert′s integral inequality[J];Pure and Applied Mathematics;2006-03
2 WANG Bin(School of Mathematics and Information Science// Key Laboratory of NumericalSimulation of Sichuan Province,Neijiang,Sichuan 641112,China);A Minimax Inequality in FC-Spaces and Its Applications[J];Journal of Neijiang Normal University;2009-02
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 KUANG Ji-chang (Mathematics Department of Hunan Normal University, Changsha410081,China);New Progress in Inequality Study in China[J];Journal of Beijing Union University;2005-01
2 KUANG Ji-chang(Department of Mathematics,Hunan Normal University,Changsha 410081,China);Recent Advances in the Researchs of Hilbert's Inequality[J];Journal of Beijing Union University(Natural Sciences);2010-01
3 YANG Bi-cheng(Department of Mathematics,Guangdong Education College,Guangzhou 510303,China);On a reverse of Hardy-Hilbert′s integral inequality[J];Pure and Applied Mathematics;2006-03
4 HE Le-ping College of Mathematics and Computer Science,Jishou University,Jishou,416000,China GAO Ming-zhe Department of Mathematics and Computer Science,Normal College,Jishou University,Jishou,416000,China;On a new extension of Hardy-Hilbert's inequality[J];Pure and Applied Mathematics;2008-01
5 YANG Bi-cheng Department of Mathematics, Guangdong Institute of Education, Guangzhou 510303, China;On a Hilbert-type integral inequality with a parameter[J];Pure and Applied Mathematics;2008-03
6 YANG Bi-cheng (Department of Mathematics,Guangdong Education Institute,Guangzhou 510303,China);On a reverse Hilbert-type integral inequality in the finite interval[J];Pure and Applied Mathematics;2010-01
7 HE Le-ping(College of Mathematics and Computer Science,Jishou University,Jishou 416000,China);On the strengthen of Hildert type inequality with symmetric homogeneous kernel of-1-order[J];Journal of Hunan University of Arts and Science(Natural Science Edition);2011-03
8 ZENG Zhi-hong1,CHEN Qiang2,ZHONG Jian-hua3(1.Editorial Department of Journal,Guangdong University of Education,Guangzhou 510303,China;2.Department of Computer Science,Guangdong University of Education,Guangzhou 510303,China;3.Department of Mathematics,Guangdong University of Education,Guangzhou 510303,China);On a half-discrete Hilbert-type inequality with a non-homogeneous kernel[J];Journal of Foshan University(Natural Science Edition);2012-03
9 YANG Bi-cheng(Dept of Math, Guangdong Institute of Education, Guangzhou 510303);On a Generalization of the Hilbert’s Type Inequality and its Applications[J];Chinese Journal of Engineering Mathematics;2004-05
10 ZHONG Wu-yi(Dept.of Math.,Guangdong Education Institute,Guangzhou,Guangdong,510303,P.R.China);On Some Equivalent Forms of the Extended Hardy-Hilbert′s Integral Inequalities[J];Journal of Guangdong Education Institute;2006-05
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 PENG Guo-qiang,HUANG Li-hong (College of Mathematics and Econometrics,Hunan University,Changsha 410082,China);NEW CRITERIONS ON EXPONENTIAL STABILITY OF A CLASS OF STOCHASTIC DIFFERENTIAL EQUATIONS WITH MARKOVIAN SWITCHING[J];Journal of Guangxi Normal University(Natural Science);2005-02
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