Abstract
In this article, we have introduced the concepts of statistically monotonic sequences of bi-complex numbers using the two types of partial order relations on the set of bi-complex numbers and have established some results. We have also investigated the concept of statistically monotonic sequence, statistically order convergence and statistically relatively uniform convergence in a bi-complex Riesz space and have studied some of their properties.
Key words: Bi-complex number, Partial order, Density, Statistical convergence, Statistical monotone, Statistical order convergence.
Full Text
Article Information
| Title | Statistically Monotonic Sequences of Bi-complex Numbers |
| Source | Methods Funct. Anal. Topology, Vol. 31 (2025), no. 1, 1-10 |
| DOI | 10.31392/MFAT-npu26_1.2025.01 |
| Milestones | Received 21/11/2024; Revised 30/12/2024 |
| Copyright | The Author(s) 2025 (CC BY-SA) |
Authors Information
Subhajit Bera
Department of Mathematics, Tripura University, Suryamaninagar, Agartala-799022, Trupra, INDIA
Ayhan Esi
Department of Mathematics, Malatya Turgut Ozal University, Malatya, Turkey
Binod Chandra Tripathy
Department of Mathematics, Tripura University, Suryamaninagar, Agartala-799022, Trupra, INDIA
Citation Example
Subhajit Bera, Ayhan Esi, and Binod Chandra Tripathy, Statistically Monotonic Sequences of Bi-complex Numbers, Methods Funct. Anal. Topology 31
(2025), no. 1, 1-10.
BibTex
@article {MFAT2094,
AUTHOR = {Subhajit Bera and Ayhan Esi and Binod Chandra Tripathy},
TITLE = {Statistically Monotonic Sequences of Bi-complex Numbers},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {31},
YEAR = {2025},
NUMBER = {1},
PAGES = {1-10},
ISSN = {1029-3531},
DOI = {10.31392/MFAT-npu26_1.2025.01},
URL = {https://mfat.imath.kiev.ua/article/?id=2094},
}
