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Statistical cluster points of sequences in finite dimensional spaces

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dc.creator Guncan, A
dc.creator Mamedov, MA
dc.creator Pehlivan, S
dc.date 2004-01-01T01:00:00Z
dc.date.accessioned 2021-12-03T11:14:47Z
dc.date.available 2021-12-03T11:14:47Z
dc.identifier 09157a7b-934d-43fd-8a26-79c5e28ebd2c
dc.identifier 10.1023/b:cmaj.0000027250.19041.72
dc.identifier https://avesis.sdu.edu.tr/publication/details/09157a7b-934d-43fd-8a26-79c5e28ebd2c/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/89819
dc.description In this paper we study the set of statistical cluster points of sequences in m-dimensional spaces. We show that some properties of the set of statistical cluster points of the real number sequences remain in force for the sequences in m-dimensional spaces too. We also define a notion of Gamma-statistical convergence. A sequence x is Gamma-statistically convergent to a set C if C is a minimal closed set such that for every epsilon > 0 the set {k: rho(C, x(k)) greater than or equal to epsilon} has density zero. It is shown that every statistically bounded sequence is Gamma-statistically convergent. Moreover if a sequence is Gamma-statistically convergent then the limit set is a set of statistical cluster points.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title Statistical cluster points of sequences in finite dimensional spaces
dc.type info:eu-repo/semantics/article


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