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Statistical Summability through de la Vallée-Poussin Mean in Probabilistic Normed Spaces

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  • Ayhan Esi

Abstract

Two concepts—one of statistical convergence and the other of de la Vallée-Poussin mean—play an important role in recent research on summability theory. In this work we define a new type of summability methods and statistical completeness involving the ideas of de la Vallée-Poussin mean and statistical convergence in the framework of probabilistic normed spaces.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jijmms:674159
    DOI: 10.1155/2014/674159
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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, Hindawi, vol. 2012, pages 1-9, September.
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