Some I-Related Properties of Triple Sequences

Ahmet Sahiner, Binod Chandra Tripathy

Abstract


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.

Keywords


Double sequence; triple sequence; statistical convergence; I-convergence; double natural density; triple natural density.

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