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Statistical Convergence of Double Sequences in Locally Solid Riesz Spaces

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  • S. A. Mohiuddine
  • Abdullah Alotaibi
  • M. Mursaleen

Abstract

Recently, the notion of statistical convergence is studied in a locally solid Riesz space by Albayrak and Pehlivan (2012). In this paper, we define and study statistical -convergence, statistical -Cauchy and -convergence of double sequences in a locally solid Riesz space.

Suggested Citation

  • S. A. Mohiuddine & Abdullah Alotaibi & M. Mursaleen, 2012. "Statistical Convergence of Double Sequences in Locally Solid Riesz Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-9, September.
    • Handle: RePEc:hin:jnlaaa:719729
    DOI: 10.1155/2012/719729
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    Cited by:

    1. Ayhan Esi, 2014. "Statistical Summability through de la Vallée-Poussin Mean in Probabilistic Normed Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-5, April.

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