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  • 标题:Logarithmic density and logarithmic statistical convergence
  • 本地全文:下载
  • 作者:Mohammed A Alghamdi ; Momammad Mursaleen ; Abdullah Alotaibi
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2013
  • 卷号:2013
  • 期号:1
  • 页码:227
  • DOI:10.1186/1687-1847-2013-227
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper we use the idea of logarithmic density to define the concept of logarithmic statistical convergence. We find the relations of logarithmic statistical convergence with statistical convergence, statistical summability ( H , 1 ) introduced by Móricz (Analysis 24:127-145, 2004) and [ H , 1 ] q -summability. We also give subsequence characterization of statistical summability ( H , 1 ) . MSC:40A05, 40A30.
  • 关键词:asymptotic density ; logarithmic density ; statistical convergence ; statistical summability ( H , 1 ) ; logarithmic statistical convergence
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