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ℐ-monotonic convergence of sequences of bi-complex numbers.
- Source :
-
Journal of Applied Analysis . Jun2024, p1. 9p. - Publication Year :
- 2024
-
Abstract
- In this paper we investigate the concept of ℐ {\mathcal{I}} -monotonic convergence of sequences of bi-complex numbers. We also discuss some partial order relations ≼ i 2 {\preccurlyeq_{i_{2}}} and ≼ i id {\preccurlyeq_{i_{\rm id}}} between two bi-complex numbers and ℐ {\mathcal{I}} -convergence, ℐ {\mathcal{I}} -monotonic sequences with respect to different partial order relations, ℐ {\mathcal{I}} -Cauchy sequences, ℐ {\mathcal{I}} -bounded monotonic sequences of bi-complex numbers. The analysis indicates that ℐ {\mathcal{I}} -monotonicity with respect to ≼ i 2 {\preccurlyeq_{i_{2}}} is not comparable with ℐ {\mathcal{I}} -monotonicity with respect to ≼ i id {\preccurlyeq_{i_{\rm id}}} . [ABSTRACT FROM AUTHOR]
- Subjects :
- *COMPLEX numbers
*DENSITY
Subjects
Details
- Language :
- English
- ISSN :
- 14256908
- Database :
- Academic Search Index
- Journal :
- Journal of Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 178041896
- Full Text :
- https://doi.org/10.1515/jaa-2024-0080