On Some Difference Sequence Spaces of Bi-complex Numbers

In this paper, we study difference sequence spaces ℓ_∞(∆), c(∆), and c_0(∆) in the context of bicomplex numbers. We show that these spaces form a linear vector space. Further, we explore their algebraic, topological, and geometric properties. Several illustrative examples are also provided to support the results.

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Journal
Journal of Nepal Mathematical Society
Published
2025-06-24
DOI
https://doi.org/10.3126/jnms.v8i1.80308
Primary Topic
Approximation Theory and Sequence Spaces
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article
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article

On Some Difference Sequence Spaces of Bi-complex Numbers

Jhavi Lal Ghimire, Narayan Prasad Pahari, Manoj K. Jaiswal, Purushottam Parajuli
Journal of Nepal Mathematical Society
Approximation Theory and Sequence Spaces
article

On Some Difference Sequence Spaces of Bi-complex Numbers

Jhavi Lal Ghimire, Narayan Prasad Pahari, Manoj K. Jaiswal, Purushottam Parajuli
article en

Abstract

In this paper, we study difference sequence spaces ℓ_∞(∆), c(∆), and c_0(∆) in the context of bicomplex numbers. We show that these spaces form a linear vector space. Further, we explore their algebraic, topological, and geometric properties. Several illustrative examples are also provided to support the results.

Journal of Nepal Mathematical SocietyVol. 8(1)
Tribhuvan University (NP)
Openalex Percentile: Top 85%
Approximation Theory and Sequence Spaces
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On Some Difference Sequence Spaces of Bi-complex Numbers — Jhavi Lal Ghimire, Narayan Prasad Pahari, et al. · Journal of Nepal Mathematical Society (2025) | TGRS Research Map | TGRS