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On the statistical variation of sequences
Authors:Alain Faisant
Institution:a Department of Mathematics, Jean Monnet University, Saint-Etienne, France
b Department of Mathematics, Comenius University, Mlynská dolina, 84248 Bratislava, Slovakia
Abstract:We introduce a generalization of the notion of sequence of finite variation, using asymptotic density of sets of positive integers. Some approximation results about approaching any sequence by sequences of finite statistical variation are given.
Keywords:Asymptotic density  Statistical convergence  Statistical variation of sequences
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