On rough $I^*$ and $I^K$-convergence of sequences in normed linear spaces

Amar Kumar Banerjee; Anirban Paul

On rough $I^*$ and $I^K$-convergence of sequences in normed linear spaces

General Topology 2021-02-16 v1

Authors: Amar Kumar Banerjee , Anirban Paul

Abstract

In this paper, we have introduced first the notion of rough $I^*$ -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 $I^*$ -convergence and rough $I^K$ -convergence.

Keywords

rough convergence ideal convergence normed linear space i*-convergence ik-convergence sequence spaces

Cite

@article{arxiv.2102.06965,
  title  = {On rough $I^*$ and $I^K$-convergence of sequences in normed linear spaces},
  author = {Amar Kumar Banerjee and Anirban Paul},
  journal= {arXiv preprint arXiv:2102.06965},
  year   = {2021}
}

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13 pages

On rough $I^*$ and $I^K$-convergence of sequences in normed linear spaces

Abstract

Keywords

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