Certain aspects of rough I-statistical convergence in probabilistic n-normed space
Filomat, cilt.37, sa.24, ss.8113-8130, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 37 Sayı: 24
- Basım Tarihi: 2023
- Doi Numarası: 10.2298/fil2324113t
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
- Sayfa Sayıları: ss.8113-8130
- Anahtar Kelimeler: I-convergence, lacunary sequence, n-norm, probabilistic normed space, rough convergence, statitical convergence
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
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.