STATISTICALLY LOCALIZED SEQUENCES IN METRIC SPACES

Anar Adiloglu Nabiev; Ekrem Savaş; Mehmet Gürdal

doi:10.11948/2156-907X.20180157

2019 Volume 9 Issue 2

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Anar Adiloglu Nabiev, Ekrem Savaş, Mehmet Gürdal. STATISTICALLY LOCALIZED SEQUENCES IN METRIC SPACES[J]. Journal of Applied Analysis & Computation, 2019, 9(2): 739-746. doi: 10.11948/2156-907X.20180157

Citation:

Anar Adiloglu Nabiev, Ekrem Savaş, Mehmet Gürdal. STATISTICALLY LOCALIZED SEQUENCES IN METRIC SPACES[J]. Journal of Applied Analysis & Computation, 2019, 9(2): 739-746. doi: 10.11948/2156-907X.20180157

STATISTICALLY LOCALIZED SEQUENCES IN METRIC SPACES

1.
Department of Computer Engineering, Süleyman Demirel University, 32260, Isparta, Turkey
2.
Department of Mathematics, Uşak University, 64000, Uşak, Turkey
3.
Department of Mathematics, Faculty of Science, Süleyman Demirel University, 32260, Isparta, Turkey

Corresponding author: Email address: gurdalmehmet@sdu.edu.tr(M. Gürdal)

Abstract

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.
- Statistical convergence /
- a metric space /
- statistical localor of the sequence
MSC: 40A35

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References

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