洪勇.准齐次核的Hardy-Hilbert型级数不等式[J].数学年刊A辑,2012,33(6):679~686
准齐次核的Hardy-Hilbert型级数不等式
Hardy-Hilbert Type Series Inequality with a Quasi-homogeneous Kernel
  
DOI:
中文关键词:  准齐次函数, 准齐次核, Hardy-Hilbert型级数不等式
英文关键词:Quasi-homogeneous function, Quasi-homogeneous kernel, Hardy- Hilbert type series inequality
基金项目:广州市科技计划项目(No.2010GN-C021)
Author NameAffiliationE-mail
HONG Yong Department of Mathematics and Computer Science, University of Guangdong Business Studies, Guangzhou 510320, china hongyonggdcc@yeah.net 
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中文摘要:
      定义了一类准齐次函数, 将齐次函数进行了推广. 讨论了具有准齐次核的Hardy-Hilbert型级数不等式, 并在一定条件下研究了最佳常数因子.
英文摘要:
      As a generalization of homogeneous function, a quasi-homogeneous function is defined. A Hardy-Hilbert type series inequality with a quasi-homogeneous kernel is given. The best constant factor is discussed under some conditions.
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