Subsequence characterization of statistical boundedness

Authors: LEILA MILLER VAN WIEREN

Abstract: In this paper, we present some relationships between statistical boundedness and statistical monotonicity of a given sequence and its subsequences. The results concerning statistical boundedness and monotonicity presented here are also closely related to earlier results regarding statistical convergence and are dealing with the Lebesgue measure and with the Baire category.

Keywords: Statistical convergence, statistical boundedness, statistical monotonicity, subsequences, measure, Baire categor

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