Statistically convergent difference sequences of bi-complex numbers-Reference-Cited by-同舟云学术

Statistically convergent difference sequences of bi-complex numbers

Published:2024-04-24 Issue: Volume: Page:
ISSN:1425-6908
Container-title:Journal of Applied Analysis
language:en
Short-container-title:

Author:

Bera Subhajit¹,Tripathy Binod Chandra¹

Affiliation:

1. Department of Mathematics , 72896 Tripura University , Agartala - 799022, Tripura , India

Abstract

Abstract In this article we introduce the notion of statistical convergence difference sequences of bi-complex numbers. Some properties of these sequence spaces like BC-module, Banach BC-module, BC-balanced set, BC-convex set, solidness, and symetricity are studied.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/jaa-2023-0133/pdf

Reference19 articles.

1. S. Bera and B. C. Tripathy, Statistical bounded sequences of bi-complex numbers, Probl. Anal. Issues Anal. 12(30) (2023), no. 2, 3–16.

2. S. Bera and B. C. Tripathy, Statistical convergence in a bicomplex valued metric space, Ural Math. J. 9 (2023), no. 1, 49–63.

3. R. C. Buck, Generalized asymptotic density, Amer. J. Math. 75 (1953), 335–346.

4. J. Cockle, A new imaginary in algebra, Lond. Edinb. Philos. Mag. 33 (1848), no. 3, 345–349.

5. B. Das and B. C. Tripathy, On λ 2 \lambda^{2} -statistical convergence of complex uncertain sequences, Asian-Eur. J. Math. 16 (2023), no. 5, Article ID 2350083.

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