Research Article

Deferred Statistical Convergence in Bi-complex Valued Metric Spaces

Number: Advanced Online Publication Early Pub Date: October 25, 2026

Deferred Statistical Convergence in Bi-complex Valued Metric Spaces

Abstract

In this paper, we introduce the concept of strong deferred Cesàro summability and deferred statistical convergence in bi-complex valued metric spaces. We establish the relationship of deferred statistical convergence with strong deferred Cesàro summability and statistical convergence in bi-complex valued metric spaces. We also study the effect of different deferred intervals on convergence and summability through the inclusion relations.

Keywords

Bi-complex numbers, Bi-complex valued metric, Deferred Cesàro summability, Deferred statistical convergence

References

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APA
Adhikari, G., Ghimire, J. L., Pahari, N. P., & Tripathy, B. C. (2026). Deferred Statistical Convergence in Bi-complex Valued Metric Spaces. Mathematical Sciences and Applications E-Notes, Advanced Online Publication, 217-228. https://doi.org/10.36753/mathenot.1966149
AMA
1.Adhikari G, Ghimire JL, Pahari NP, Tripathy BC. Deferred Statistical Convergence in Bi-complex Valued Metric Spaces. Math. Sci. Appl. E-Notes. 2026;(Advanced Online Publication):217-228. doi:10.36753/mathenot.1966149
Chicago
Adhikari, Gobinda, Jhavi Lal Ghimire, Narayan Prasad Pahari, and Binod Chandra Tripathy. 2026. “Deferred Statistical Convergence in Bi-Complex Valued Metric Spaces”. Mathematical Sciences and Applications E-Notes, no. Advanced Online Publication: 217-28. https://doi.org/10.36753/mathenot.1966149.
EndNote
Adhikari G, Ghimire JL, Pahari NP, Tripathy BC (October 1, 2026) Deferred Statistical Convergence in Bi-complex Valued Metric Spaces. Mathematical Sciences and Applications E-Notes Advanced Online Publication 217–228.
IEEE
[1]G. Adhikari, J. L. Ghimire, N. P. Pahari, and B. C. Tripathy, “Deferred Statistical Convergence in Bi-complex Valued Metric Spaces”, Math. Sci. Appl. E-Notes, no. Advanced Online Publication, pp. 217–228, Oct. 2026, doi: 10.36753/mathenot.1966149.
ISNAD
Adhikari, Gobinda - Ghimire, Jhavi Lal - Pahari, Narayan Prasad - Tripathy, Binod Chandra. “Deferred Statistical Convergence in Bi-Complex Valued Metric Spaces”. Mathematical Sciences and Applications E-Notes. Advanced Online Publication (October 1, 2026): 217-228. https://doi.org/10.36753/mathenot.1966149.
JAMA
1.Adhikari G, Ghimire JL, Pahari NP, Tripathy BC. Deferred Statistical Convergence in Bi-complex Valued Metric Spaces. Math. Sci. Appl. E-Notes. 2026;:217–228.
MLA
Adhikari, Gobinda, et al. “Deferred Statistical Convergence in Bi-Complex Valued Metric Spaces”. Mathematical Sciences and Applications E-Notes, no. Advanced Online Publication, Oct. 2026, pp. 217-28, doi:10.36753/mathenot.1966149.
Vancouver
1.Gobinda Adhikari, Jhavi Lal Ghimire, Narayan Prasad Pahari, Binod Chandra Tripathy. Deferred Statistical Convergence in Bi-complex Valued Metric Spaces. Math. Sci. Appl. E-Notes. 2026 Oct. 1;(Advanced Online Publication):217-28. doi:10.36753/mathenot.1966149