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文章基本信息

  • 标题:Matrix transformations and Walsh's equiconvergence theorem
  • 本地全文:下载
  • 作者:Chikkanna R. Selvaraj ; Suguna Selvaraj
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2005
  • 卷号:2005
  • 期号:16
  • 页码:2647-2653
  • DOI:10.1155/IJMMS.2005.2647
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    In 1977, Jacob defines G α , for any 0 ≤ α < ∞ , as the set of all complex sequences x such that | x k | 1 / k ≤ α . In this paper, we apply G u − G v matrix transformation on the sequences of operators given in the famous Walsh's equiconvergence theorem, where we have that the difference of two sequences of operators converges to zero in a disk. We show that the G u − G v matrix transformation of the difference converges to zero in an arbitrarily large disk. Also, we give examples of such matrices.

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