TAIWANESE JOURNAL OF MATHEMATICS, vol.11, no.2, pp.569-576, 2007 (SCI-Expanded)
Article / Article
TAIWANESE JOURNAL OF MATHEMATICS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
statistical convergence, statistical Cauchy sequence, I-convergence, I-Cauchy, I*-Cauchy, ideals of sets, STATISTICALLY CONVERGENT, POINTS
Süleyman Demirel University Affiliated:
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.