数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (2): 473-482.doi: 10.1016/S0252-9602(14)60021-7

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ON LACUNARY STATISTICAL CONVERGENCE OF ORDER α

 Hacer SENGÜL, Mikail ET   

  1. Department of Mathematics, Firat University, 23119, Elazig, TURKEY
  • 收稿日期:2013-02-07 修回日期:2013-10-04 出版日期:2014-03-20 发布日期:2014-03-20

ON LACUNARY STATISTICAL CONVERGENCE OF ORDER α

 Hacer SENGÜL, Mikail ET   

  1. Department of Mathematics, Firat University, 23119, Elazig, TURKEY
  • Received:2013-02-07 Revised:2013-10-04 Online:2014-03-20 Published:2014-03-20

摘要:

In this article, we introduce the concept of lacunary statistical convergence of order α of real number sequences and give some inclusion relations between the sets of lacu-nary statistical convergence of order α and strong Nαθ (p)-summability. Furthermore, some relations between the spaces Nαθ (p)- and Sαθ are examined.

关键词: Statistical convergence, lacunary sequence, Ces`aro summability

Abstract:

In this article, we introduce the concept of lacunary statistical convergence of order α of real number sequences and give some inclusion relations between the sets of lacu-nary statistical convergence of order α and strong Nαθ (p)-summability. Furthermore, some relations between the spaces Nαθ (p)- and Sαθ are examined.

Key words: Statistical convergence, lacunary sequence, Ces`aro summability

中图分类号: 

  • 40A05