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Triple Sequences and Their Statistical Convergence

Author(s): Ahmet Şahiner | Mehmet Gürdal | F. Kadriye Düden

Journal: Selçuk Journal of Applied Mathematics
ISSN 1302-7980

Volume: 8;
Issue: 2;
Start page: 49;
Date: 2007;
Original page

Keywords: Double sequence | triple sequence | statistical convergence | triple natural density.

Pringsheim gave the definition of the convergence for double sequences in 1900. The idea of statistical convergence was first presented by Fast in 1951. In 2003 Tripathy and Mursaleen introduced statistical convergence of double sequences. In this article we introduce the notions of triple sequences and statistically convergent triple sequence. We also introduce the notions of statistical Cauchy for triple sequences, a necessary and sufficient condition for a triple statistical Cauchy sequence to be a convergent triple sequence is given.
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