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  • 标题:Quasi-Norms for a Double Sequence
  • 本地全文:下载
  • 作者:Toshihide UENO ; Takeshi TOKUYAMA ; Masami OKADA
  • 期刊名称:Interdisciplinary Information Sciences
  • 印刷版ISSN:1340-9050
  • 电子版ISSN:1347-6157
  • 出版年度:2002
  • 卷号:8
  • 期号:2
  • 页码:157-166
  • DOI:10.4036/iis.2002.157
  • 出版社:The Editorial Committee of the Interdisciplinary Information Sciences
  • 摘要:The purpose of this note is to define and characterize different kinds of quasi-norms for a double sequence obtained by generalizing the lp-norm. In particular we focus on two weak lp-norms: successive weak lp-norm and standard weak lp-norm. We give upper and lower bound of the ratio of a successive weak lp-norm to a standard weak lp-norm for any double sequence.
  • 关键词:quasi-norm;weak lp-norm;Lorentz norm;double sequence
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