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.
C1 [Dundar, Erdinc] Afyon Kocatepe Univ, Dept Math, TR-03200 Afyon, Turkey.
[Altay, Bilal] Inonu Univ, Dept Elementary Educ, TR-44280 Malatya, Turkey.