Certain aspects of rough I-statistical convergence in probabilistic n-normed space
Filomat, vol.37, no.24, pp.8113-8130, 2023 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 37 Issue: 24
- Publication Date: 2023
- Doi Number: 10.2298/fil2324113t
- Journal Name: Filomat
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
- Page Numbers: pp.8113-8130
- Keywords: I-convergence, lacunary sequence, n-norm, probabilistic normed space, rough convergence, statitical convergence
- Süleyman Demirel University Affiliated: Yes
Abstract
The main aim of this investigation is to introduce rough I-statistical convergence in probabilistic n-normed spaces (briefly Pr-n-spaces). We establish some results on rough I-statistical convergence and also we introduce the notion of rough I-statistical limit set in Pr-n-spaces and discuss some topological aspects on this set. Moreover, we define rough I-lacunary statistical convergent, rough lacunary I-convergent, rough lacunary I-Cauchy and rough lacunary I∗-convergent sequences in Pr-n-spaces. We obtain several significant results related to these notions.