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Archives › Volume 11, Number 2 (2021)

J. Math. Comput. Sci. 11 (2021), 1528–1534

On some properties of I^K-convergence

Ankur Sharmah, Debajit Hazarika

Abstract

In this paper, we study I^K-convergent sequences and observe that various properties of usual convergence are exhibited by I^K-convergence in the set of real numbers R. Subsequently, we prove the Sandwich Theorem for I^K-convergent sequences in R. We also introduce I^K-convergence field and study its various properties.

Published
19 February 2021
Volume
11 (2021)
License
CC BY 3.0

Copyright © 2021 Ankur Sharmah, Debajit Hazarika. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

A. Sharmah, D. Hazarika, On some properties of I^K-convergence, J. Math. Comput. Sci. 11 (2021), 1528–1534. https://doi.org/10.28919/jmcs/5385

BibTeX
@article{Sharmah2021,
  author  = {Sharmah, Ankur and Hazarika, Debajit},
  title   = {On some properties of I^K-convergence},
  journal = {J. Math. Comput. Sci.},
  volume  = {11},
  year    = {2021},
  pages   = {1528--1534},
  doi     = {10.28919/jmcs/5385}
}