Статья: STATISTICAL CONVERGENCE IN TOPOLOGICAL SPACE CONTROLLED BY MODULUS FUNCTION

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The notion of f-statistical convergence in topological space, which is actually a statistical convergence’s generalization under the influence of unbounded modulus function is presented and explored in this paper. This provides as an intermediate between statistical and typical convergence. We also present many counterexamples to highlight the distinctions among several related topological features. Lastly, this paper is concerned with the notions of sf-limit point and sf-cluster point for a unbounded modulus function f.

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Загрузил(а): Das Parthiba
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EISSN: 2414-3952
Журнал: URAL MATHEMATICAL JOURNAL
Год публикации: 2024
Автор(ы): Das P., Sarkar S., Bal P.
Ключевые фразы: asymptotic density, f-statistical convergence, f-statistical limit point, f-statistical cluster point
УДК: 51. Математика