On I-Cauchy sequences
TAIWANESE JOURNAL OF MATHEMATICS, cilt.11, sa.2, ss.569-576, 2007 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 11 Sayı: 2
- Basım Tarihi: 2007
- Doi Numarası: 10.11650/twjm/1500404709
- Dergi Adı: TAIWANESE JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.569-576
- Anahtar Kelimeler: statistical convergence, statistical Cauchy sequence, I-convergence, I-Cauchy, I*-Cauchy, ideals of sets, STATISTICALLY CONVERGENT, POINTS
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
The concept of I-convergence is a generalization of statistical convergence and it is dependent on the notion of the ideal I of subsets of the set N of positive integers. In this paper we prove a decomposition theorem for I-convergent sequences and we introduce the notions of I Cauchy sequence and I*-Cauchy sequence, and then study their certain properties.