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
Date:2014
Main Authors: Değer, U., Dovgoshei, A. A., Küçükaslan, M., Дегер, У., Довгошей, О. А., Куцукаслан, М.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2014
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2172
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal