I sub(2)-convergence and I sub(2)-cauchy double sequences

I sub(2)-convergence and I sub(2)-cauchy double sequences

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

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Veröffentlicht in:Acta mathematica scientia 2014-03, Vol.34 (2), p.343-353
Hauptverfasser: DUeUNDAR, Erdinc, ALTAY, Bilal
Format: Artikel
Sprache:eng
Schlagworte:
Decomposition
Sequences
Theorems
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Zusammenfassung:In this article, we prove a decomposition theorem for I sub(2)-convergent double sequences and introduce the notions of I sub(2)-Cauchy and I super(*) sub(2))-Cauchy double sequence, and then study their certain properties. Finally, we introduce the notions of regularly (I sub(2),I)-convergence and (I sub(2),I)-Cauchy double sequence.
ISSN:0252-9602
DOI:10.1016/S0252-9602(14)60009-6