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Hardy-Hilbert型不等式的一个新推广

A new extension on Hardy-Hilbert type inequalities
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摘要 研究了带参数的Hardy-Hilbert型不等式,利用加强的Hlder’s不等式对Hardy-Hilbert不等式作了一些新的改进,建立了一个新的不等式. Hardy-Hilbert's inequality with parameters was investigated. Some new improvements of Hardy-Hilbert's inequality were given by means of a sharpening of HOlder's inequality. A new inequality was built.
出处 《湖南文理学院学报(自然科学版)》 CAS 2008年第1期7-8,12,共3页 Journal of Hunan University of Arts and Science(Science and Technology)
基金 湖南省教育厅基金项目资助(07C520)
关键词 HARDY-HILBERT不等式 HOLDER不等式 Β函数 Hardy-Hilbert inequality HOlder inequality β function
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参考文献3

  • 1[1]Yang Bicheng.On a New Extension of Hilbert's Double Series Theorem and Applications[J].International Journal Pure & Applied Mathematical Sciences,2006,2(3):1-10.
  • 2[2]He Leping,Gao Mingzhe,Wei Shangrong.A Note on Hilbert's Inequality[J].Mathematical Inequalities & Applications,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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