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Statistical summability through de la Vallée-Poussin mean in probabilistic normed spaces. (English) Zbl 1328.40006

Summary: 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.

MSC:

40J05 Summability in abstract structures
40A35 Ideal and statistical convergence
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