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Banerjee, Amar Kumar; Paul, Anirban

On rough \(I^\ast\) and \(I^K\)-convergence of sequences in normed linear spaces. (English) Zbl 1513.54021

Facta Univ., Ser. Math. Inf. 37, No. 3, 541-557 (2022).
Summary: In this paper, we have introduced first the notion of rough \(I^\ast\)-convergence in a normed linear space as an extension work of rough \(I\)-convergence and then rough \(I^K\)-convergence in more general way. Then we have studied some properties on these two newly introduced ideas. We also examined the relationship between rough \(I\)-convergence with both of rough \(I^\ast\)-convergence and rough \(I^K\)-convergence.

MSC:

54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
40A35 Ideal and statistical convergence

Keywords:

rough \(I^\ast\)-convergence; rough \(I^K\)-convergence; linear space
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\textit{A. K. Banerjee} and \textit{A. Paul}, Facta Univ., Ser. Math. Inf. 37, No. 3, 541--557 (2022; Zbl 1513.54021)
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References:

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