Year: 2024
Type: article
Abstract: 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 \(s^{f}\)-limit point and \(s^{f}\)-cluster point for a unbounded modulus function \(f\).
Source: Ural mathematical journal
Authors: Parthiba Das, Susmita Sarkar, Prasenjit Bal
Institution: ICFAI University, Tripura
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4405869976