期刊文献+

关于Hardy-Hilbert不等式的一种新改进

On a New Extension of Hardy-Hilbert's Inequality
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摘要 利用改进了的Hlder’s不等式对Hardy-Hilbert不等式作了一些新的改进,建立了一些新的不等式. It was shown that some new improvements of Hardy-Hilbert's inequality can be obtained by means of a sharpening of Hoelder's inequality. Some new inequalities were established.
出处 《湖南文理学院学报(自然科学版)》 CAS 2007年第2期40-42,共3页 Journal of Hunan University of Arts and Science(Science and Technology)
关键词 HARDY-HILBERT不等式 Hlder不等式 权函数 Β函数 Hardy-Hilbert inequality Hoelder's inequality weight function, beta function
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参考文献3

  • 1[1]Yang Bicheng.On an Extention of Hardy-Hilbert's Inequa-lity[J].Chin Ann Math Ser A,2002,23(2):247-254.
  • 2[2]He Leping,Gao Mingzhe,Wei Shangrong.A Note on Hilbert's Inequality[J].Mathematical Inequalities & Applic-ations,2003,6(2):283-288.
  • 3[3]He Leping,Jia weijian,Gao Mingzhe.A Hardy-Hilbert's type inequality with gamma function and its applications[J].Integral Transforms and Special Functions,2006,17(5):355-363.

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