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

Two concepts—one of statistical convergence and the other of de la Vallee-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 Vallee-Poussin mean and statistical convergence in the framework of probabilistic normed spaces.