Year: 2025
Type: article
Abstract: For a non-empty set X, an ideal I represents a family of subsets of X that is closed under taking finite unions and subsets of its elements. Considering X = N, in the present study, we set forth with the new concept of rough I and I*- convergence in gradual normed linear spaces (GNLS). We produce significant results that present several fundamental features of the notions utilizing Ir(G) and I*,r(G)?limit set. In the end, we investigate their interrelationships and establish a necessary and sufficient condition for the equivalency of the two notions.
Source: Filomat
DOI: 10.2298/fil2504135k
Authors: Ömer Kişi, Choudhury Chiranjib
Institutions: Bartin University, Tripura University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4412754295