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Some I-Related Properties of Triple Sequences

Author(s): Ahmet Sahiner | Binod Chandra Tripathy

Journal: Sel├žuk Journal of Applied Mathematics
ISSN 1302-7980

Volume: 9;
Issue: 2;
Start page: 9;
Date: 2008;
Original page

Keywords: Double sequence | triple sequence | statistical convergence | I-convergence | double natural density | triple natural density.

Ideal convergence was presented by Kostyrko et al in 2001. This concept was extended to the double sequences by Tripathy et. al in 2006. In this paper we introduce the notions of I -convergence, I -bounded, I -inferior and I -superior for triple sequences. We also investigate some further properties of I -limit superior and I -limit inferior of triple sequences.

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