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  • 标题:Korovkin type approximation theorem for functions of two variables through statistical A -summability
  • 本地全文:下载
  • 作者:Mohammad 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:2012
  • 卷号:2012
  • 期号:1
  • 页码:65
  • DOI:10.1186/1687-1847-2012-65
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this article, we prove a Korovkin type approximation theorem for a function of two variables by using the notion of statistical A-summability. We also study the rate of statistical A-summability of positive linear operators. Finally we construct an example by Bleimann et al. operators to show that our result is stronger than those of previously proved by other authors. AMS Subject Classification 2000: 41A10; 41A25; 41A36; 40A30; 40G15.
  • 关键词:density ; statistical convergence ; A -statistical convergence ; statistical A -summability ; positive linear operator ; Korovkin type approximation theorem
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