On the Statistical Convergence of Metric-Valued Sequences

We study the conditions for the density of a subsequence of a statistically convergent sequence under which this subsequence is also statistically convergent. Some sufficient conditions of this type and almost converse necessary conditions are obtained in the setting of general metric spaces.

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Bibliographic Details
Published in:Ukrainian mathematical journal 2014-10, Vol.66 (5), p.796-805
Main Authors: Küçükaslan, M., Değer, U., Dovgoshey, O.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
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Description
Summary:We study the conditions for the density of a subsequence of a statistically convergent sequence under which this subsequence is also statistically convergent. Some sufficient conditions of this type and almost converse necessary conditions are obtained in the setting of general metric spaces.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-014-0974-z