Canan SÜMBÜL, Cemal BELEN, Mustafa YILDIRIM

Properties of ??-Statistical Convergence

In this study, different characterizations of ??-statistically convergent sequences are given. The main features of ??-statistically convergent sequences are investigated and the relationship between ??-statistically convergent sequences and ??-statistically Cauchy sequences is examined. The properties provided by the set of bounded and ?? statistical convergent sequences is shown. It is given that the statistical limit is unique. Furthermore, a sequence that ??-statistical converges to the number L has a subsequence that converges to the same number of L, is shown. The analogs of ?? statistical convergent sequences is studied.

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