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Statistically localized sequences in metric spaces |
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| Affiliation: | Department of Computer Engineering, Suleyman Demirel University, 32260, Isparta, Turkey,Department of Mathematics, Usak University, 64000, Usak, Turkey and Department of Mathematics, Faculty of Science, Suleyman Demirel University, 32260, Isparta, Turkey |
| Abstract: | In this paper we have introduced the statistically localized sequences in metric spaces and investigate basic properties of the statistically localized sequences. Also we have obtained some necessary and sufficient conditions for a localized sequence to be a statistically Cauchy sequence. It is also defined uniformly statistically localized sequences on metric spaces and its relation with statistically Cauchy sequences has been investigated. |
| Keywords: | statistical convergence a metric space statistical localor of the sequence. |
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