\(\mathcal{I}\)-STATISTICAL CONVERGENCE OF COMPLEX UNCERTAIN SEQUENCES IN MEASURE
The main aim of this paper is to present and explore some of properties of the concept of \(\mathcal{I}\)-statistical convergence in measure of complex uncertain sequences. Furthermore, we introduce the concept of \(\mathcal{I}\)-statistical Cauchy sequence in measure and study the relationships between different types of convergencies. We observe that, in complex uncertain space, every \(\mathcal{I}\)-statistically convergent sequence in measure is \(\mathcal{I}\)-statistically Cauchy sequence in measure, but the converse is not necessarily true.
Authors
- Shyamal Debnath (ORCID: https://orcid.org/0000-0003-2804-6564)
- A.K. Halder (ORCID: https://orcid.org/0000-0002-3059-7202)
Institutions
- Tripura University (IN)
Publication Details
- Journal
- Ural mathematical journal
- Published
- 2024-12-28
- DOI
- https://doi.org/10.15826/umj.2024.2.007
- Citations
- 1
- Primary Topic
- Neural Networks and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.35
Funders
- Council of Scientific and Industrial Research, India