ON $\mathcal{I}$-STATISTICAL CONVERGENCE OF SEQUENCES IN GRADUAL NORMED LINEAR SPACES

Authors

  • C. Choudhury Department of Mathematics, Tripura University (A Central University), Suryamaninagar-799022, Agartala, India Author
  • S. Debnath Department of Mathematics, Tripura University (A Central University), Suryamaninagar-799022, Agartala, India Author

Keywords:

Gradual number, gradual normed linear spaces, statistical convergence, $\mathcal{I}$-convergence, $\mathcal{I}$-statistical convergence

Subjects:

03E72, 40A35, 40A05

Abstract

In this article, we introduce the notion of $\mathcal{I}$-statistical convergence of sequences as one of the extensions of $\mathcal{I}$-convergence in the gradual normed linear spaces. We investigate some fundamental properties of the newly introduced notion and its relation with some other methods of convergence. Also we introduce and investigate the concept of $\mathcal{I}$-statistical limit points, cluster points and establish some implication relations.

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Published

2022-07-15

Issue

Vol. 74 No. 3 (2022): Vol. 74, Issue 3

Section

Articles

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Copyright (c) 2022 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.