An Improvement of the Inequality Similar to Hardy-Hilbert's Inequality
(1.Department of Mathematics and Computer Science,Normal College,Jishou University,Jishou 416000,Hunan China;2.Department of Mathematics and Computer Science,Jishou University,Jishou 416000,Hunan China)
Online:2005-01-15
Published:2012-09-22
About author:YAO Jin-bin(1963-),male,was born in Yongshun,Hunan Province,the senior lecturer;the major study field is real function and its application.
[1] HARDY G H,LITTLEWOOD J E,POLYA G.Inequalities [M].Cambridge,UK:Cambridge Univ.Press,1952.[2] HE Le-ping,GAO Ming-zhe,WEI Shang-rong.A Note on Hilbert’s Inequality,Mathematical Inequalities & Applications [J].Croatia,2003,6(2):283-288.[3] YANG Bi-cheng.A New Inequality Similar to Hilbert’s Inequality [J].Journal of Inequalities in Pure and Applied Mathematics,2002,3(5):45-52.[4] GAO Ming-zhe,WEI Shang-rong,HE Le-ping,On the Hilbert Inequality with Weights [J].Zeitschrift für Analysis Und ihre Anwendungen,2002,21(1):257-263.[5] GREUB W H.Linear Algrbra [M].Berlin:Springer Verlag Press,1963.[6] ZHANG Nan-yue.Euler-Maclaurin Summation Formula and Its Application [J].Math.in Practice and Theory,1985,1:30-38.[7] HE Le-ping,GAO Ming-zhe JIA Wei-jian.On the Improvement of the Hardy-Hilbert's Integral Inequality with parameters [J].Journal of Inequalities in Pure and Applied Mathematics,2003,4(5):48-56.