STATISTICAL CONVERGENCE IN TOPOLOGICAL SPACE CONTROLLED BY MODULUS FUNCTION

STATISTICAL CONVERGENCE IN TOPOLOGICAL SPACE CONTROLLED BY MODULUS FUNCTION

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....

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Bibliographic Details
Main Authors: Parthiba Das, Susmita Sarkar, Prasenjit Bal
Format: Article
Language:English
Published: Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2024-12-01
Series:Ural Mathematical Journal
Subjects:
asymptotic density, \(f\)-statistical convergence, \(f\)-statistical limit point, \(f\)-statistical cluster point
Online Access:https://umjuran.ru/index.php/umj/article/view/782
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