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PreprintarXiv licencearXiv

On ℐst- convergence in the space of reals

  • Amar Kumar Banerjee
  • Khairul Hasan
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Abstract

In this paper, we study the notion of ℐst-convergence of sequences of real numbers which is an extension work of ℐ*-convergence on real sequences. We also define the convergence field of ℐst-convergence and ℐst-limit points and we discuss some properties related to these notions.

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Cite

BibTeXRIS
BibTeX
@misc{banerjee2026ℐst,
  title = {{On $\mathcalI^st$- convergence in the space of reals}},
  author = {Amar Kumar Banerjee and Khairul Hasan},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.17041},
  eprint = {2609.17041},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.17041},
}
RIS
TY  - UNPB
TI  - On ℐ^st- convergence in the space of reals
AU  - Amar Kumar Banerjee
AU  - Khairul Hasan
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2609.17041
UR  - https://arxiv.org/abs/2609.17041
AB  - In this paper, we study the notion of ℐ^st-convergence of sequences of real numbers which is an extension work of ℐ^*-convergence on real sequences. We also define the convergence field of ℐ^st-convergence and ℐ^st-limit points and we discuss some properties related to these notions.
ER  -