On I-Cauchy sequences in 2-normed spaces
MATHEMATICAL INEQUALITIES & APPLICATIONS, cilt.11, sa.2, ss.349-354, 2008 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 11 Sayı: 2
- Basım Tarihi: 2008
- Dergi Adı: MATHEMATICAL INEQUALITIES & APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.349-354
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
The concept of I-convergence is a generalization of statistical convergence and it is depended on the notion of the ideal I of subsets of the set N of positive integers. In this paper for sequences in 2-normed space the relationship between I-convergence and usual convergence along a filter F(I) associated with an admissible ideal I with property (AP) is investigated. We introduce the concepts I-Cauchy and I*-Cauchy sequences in 2-normed spaces and study their certain properties.