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

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.


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