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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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 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.
doi_str_mv 10.1007/s11253-014-0974-z
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ispartof Ukrainian mathematical journal, 2014-10, Vol.66 (5), p.796-805
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1573-9376
language eng
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subjects Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
title On the Statistical Convergence of Metric-Valued Sequences
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