I-2-CONVERGENCE AND I-2-CAUCHY DOUBLE SEQUENCES

DÜNDAR E., ALTAY B.

ACTA MATHEMATICA SCIENTIA, vol.34, no.2, pp.343-353, 2014 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 2
  • Publication Date: 2014
  • Journal Name: ACTA MATHEMATICA SCIENTIA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.343-353
  • Keywords: Ideal, double sequences, I-convergence, I-Cauchy, IDEAL CONVERGENCE, I-CONVERGENCE, STATISTICALLY CONVERGENT, SPACES
  • Inonu University Affiliated: Yes

Abstract

In this article, we prove a decomposition theorem for I-2-convergent double sequences and introduce the notions of I-2-Cauchy and I-2(*)-Cauchy double sequence, and then study their certain properties. Finally, we introduce the notions of regularly (I-2,I)-convergence and (I-2,I)-Cauchy double sequence.