Abstract
The concept of $\mathcal{I}$-convergence is a generalization of statistical convergence and it is dependent on the notion of the ideal $\mathcal{I}$ of subsets of the set $\mathbb{N}$ of positive integers. In this paper we prove a decomposition theorem for $\mathcal{I}$-convergent sequences and we introduce the notions of $\mathcal{I}$ Cauchy sequence and $\mathcal{I}^{*}$-Cauchy sequence, and then study their certain properties.
Citation
Anar Nabiev. Serpil Pehlivan. Mehmet Gürdal. "ON $\mathcal{I}$-CAUCHY SEQUENCES." Taiwanese J. Math. 11 (2) 569 - 576, 2007. https://doi.org/10.11650/twjm/1500404709
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