On I-Cauchy sequences


NABIEV A., PEHLİVAN S., GÜRDAL M.

TAIWANESE JOURNAL OF MATHEMATICS, vol.11, no.2, pp.569-576, 2007 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 2
  • Publication Date: 2007
  • Doi Number: 10.11650/twjm/1500404709
  • Journal Name: TAIWANESE JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.569-576
  • Keywords: statistical convergence, statistical Cauchy sequence, I-convergence, I-Cauchy, I*-Cauchy, ideals of sets, STATISTICALLY CONVERGENT, POINTS
  • Süleyman Demirel University Affiliated: Yes

Abstract

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.