On \(\left( \Delta _{{\uplambda } }^{m},I\right) \) –statistical convergence

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• 作者：Ekrem Sava? ; Mikail Et
• 关键词：Difference sequences ; Statistical convergence ; I ; convergence ; Cesàro summability ; 40A05 ; 40C05 ; 46A45
• 刊名：Periodica Mathematica Hungarica
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：71
• 期：2
• 页码：135-145
• 全文大小：427 KB
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• 作者单位：Ekrem Sava? (1)
  Mikail Et (2) (3)
  
  1. Department of Mathematics, Istanbul Ticaret University, üsküdar, Istanbul, Turkey
  2. Department of Mathematics, F?rat University, 23119, Elaz?g, Turkey
  3. Department of Mathematics, Siirt University, 56100, Siirt, Turkey
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Sciences
  Mathematics
  
• 出版者：Akad茅miai Kiad贸, co-published with Springer Science+Business Media B.V., Formerly Kluwer Academic
• ISSN：1588-2829

文摘

In this paper we introduce the concepts of \(\left( \Delta _{{\uplambda } }^{m},I\right) \)-statistical convergence of order \(\alpha \) and \(\left[ {V}\right] _{p}\left( \Delta _{{\uplambda } }^{m},I\right) \)-summability of order \(\alpha \) of real sequences and investigated between their relationship. Keywords Difference sequences Statistical convergence I-convergence Cesàro summability