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Statistical Summability of Double Sequences through de la Vallée‐Poussin Mean in Probabilistic Normed Spaces

Author

Listed:
  • S. A. Mohiuddine
  • Abdullah Alotaibi

Abstract

The purpose of this paper is to define some new types of summability methods for double sequences involving the ideas of de la Vallée‐Poussin mean in the framework of probabilistic normed spaces and establish some interesting results.

Suggested Citation

  • S. A. Mohiuddine & Abdullah Alotaibi, 2013. "Statistical Summability of Double Sequences through de la Vallée‐Poussin Mean in Probabilistic Normed Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:215612
    DOI: 10.1155/2013/215612
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    References listed on IDEAS

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    1. S. A. Mohiuddine & Abdullah Alotaibi & M. Mursaleen, 2012. "Statistical Convergence of Double Sequences in Locally Solid Riesz Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. S. A. Mohiuddine & Bipan Hazarika & Abdullah Alotaibi, 2013. "Double Lacunary Density and Some Inclusion Results in Locally Solid Riesz Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, July.
    3. 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.
    4. Mohiuddine, S.A. & Danish Lohani, Q.M., 2009. "On generalized statistical convergence in intuitionistic fuzzy normed space," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1731-1737.
    5. S. A. Mohiuddine & Bipan Hazarika & Abdullah Alotaibi, 2013. "Double Lacunary Density and Some Inclusion Results in Locally Solid Riesz Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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    Cited by:

    1. A. Alotaibi & B. Hazarika & S. A. Mohiuddine, 2014. "On the Ideal Convergence of Double Sequences in Locally Solid Riesz Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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