On asymptotically lacunary statistical equivalent set sequences (Q355678)
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scientific article; zbMATH DE number 6191139
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On asymptotically lacunary statistical equivalent set sequences |
scientific article; zbMATH DE number 6191139 |
Statements
On asymptotically lacunary statistical equivalent set sequences (English)
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25 July 2013
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Summary: This paper presents three definitions which are a natural combination of the definitions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, and Wijsman convergence. In addition, we also present asymptotically equivalent (Wijsman sense) analogs of theorems by \textit{F. Patterson} and \textit{E. Savaş} [Thai J. Math. 4, No. 2, 267--272 (2006; Zbl 1155.40301)].
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asymptotic equivalence
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statistical convergence
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lacunary statistical convergence
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Wijsman convergence
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