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关于Hilbert积分不等式新的改进和推广(英文) 被引量:5

On Some New Improvements and Generalizations of Hilbert's Integral Inequalities
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摘要 本文通过引入一些常数,运用一些分析技巧和Young不等式,给出了Hilbert积分不等式的一些新的改进和推广. In this paper, by introducing some parameters, and using some analytical techniques and Young's inequality, some new improvements and generalizations of Hilbert's integral inequalities are showed.
出处 《数学进展》 CSCD 北大核心 2003年第4期419-424,共6页 Advances in Mathematics(China)
基金 This work is supported by the Scientific Research Foundation of Xuzhou Normal University
关键词 HILBERT积分不等式 YOUNG不等式 CAUCHY不等式 Β函数 Hilbert's integral inequality
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参考文献7

  • 1Hardy G H, Littlewood J E and Polya G. Inequalities [M], Cambridge Univ. Press, London, 1952.
  • 2Yang Bicheng. On Hilbert's integral inequality [J]. J. Math. Anal Appl,1998: 220:778-785.
  • 3Kuang Jichang.On new extnsions of Hilbert's integral inequality[J].J.Math.Anal.Appl,1999.235.
  • 4Gao Mingzhe. On Hilbert's inequality and its applications [J]. J. Math. Anal. Appl., 1997, 212: 316-323.
  • 5Yang Bicheng.On generalization of Hardy-Hilbert's integral inequality [J]. Acta Mathematica Sinica (Chinese), 1998, 41(4): 839-844.
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