SOME RESULTS ON ROUGH I2-LACUNARY STATISTICAL CONVERGENCE OF COMPLEX UNCERTAIN SEQUENCES
Journal of the Iranian Mathematical Society, cilt.5, sa.2, ss.171-189, 2024 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 5 Sayı: 2
- Basım Tarihi: 2024
- Doi Numarası: 10.30504/jims.2024.457746.1179
- Dergi Adı: Journal of the Iranian Mathematical Society
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.171-189
- Anahtar Kelimeler: Complex uncertain sequence, ideal convergence, lacunary statistical convergence, rough convergence
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
This paper introduces rough I2-lacunary statistical convergence for complex uncertain double sequences (CUDS), extending concepts of rough convergence, rough lacunary statistical convergence, and rough I2-convergence. We explore this notion across four aspects of uncertainty: almost surely, measure, mean, and distribution. Additionally, we investigate rough I2-lacunary statistical convergence in p-distance and metric spaces for CUDS. The study illustrates the interconnectedness of these convergence concepts and offers observations on their relationships.