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关于一个半离散的Hilbert型不等式 被引量:16

On a Half-Discrete Hilbert-Type Inequality
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摘要 应用权系数的方法及参量化思想,建立一个具有最佳常数因子的、半离散的Hilbert型不等式,并考虑了它的引入多参数的最佳推广式及等价式. By using the way of weight coefficients and idea introducing parameters, a half-discrete Hilbert-type inequality with the best constant factor is given. The best extension with multi-parameters and equivalent forms is also considered.
作者 杨必成
出处 《汕头大学学报(自然科学版)》 2011年第4期5-10,共6页 Journal of Shantou University:Natural Science Edition
基金 广东省自然科学基金资助项目(7004344)
关键词 权系数 参数 HILBERT型不等式 等价式 weight coefficient parameter Hilhert-type inequality equivalent form
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参考文献8

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共引文献1

同被引文献113

  • 1杨必成,陈强.一个半离散含多参数的Hilbert型不等式[J].浙江大学学报(理学版),2012,39(6):623-626. 被引量:2
  • 2杨必成.一个推广的Hilbert型积分不等式及其应用[J].数学杂志,2007,27(3):285-290. 被引量:28
  • 3钟玉泉.复变函数论[M].北京:高等教育出版社,2005.
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  • 7YANG B C.Hilbert-type Integral Inequalities[M].Dubai:Bentham Science Publishers Ltd,2009:14-63.
  • 8YANG B C.Discrete Hilbert-type Inequalities[M].Dubai:Bentham Science Publishers Ltd,2011:27-89.
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  • 10AZAR L E.On Some Extensions of Hardy-Hilbert’s Inequality and Applications[J/OL].Journal of Inequalities andApplications,2008,2008:1-14.[2011-12-22].http://www.deepdyve.com/lp/hindawi-publishing-corporation/on-some-extensions-of-hardy-hilbert-s-inequality-and-applications-b1H2Biyt0n.

引证文献16

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