Year: 2024
Type: article
Abstract: In this article we have introduced the notion of almost convergence, strongly almost convergence, almost null and strongly almost null of double sequences in Pringsheim sense of bi-complex numbers. We have proved that these are linear spaces and with the help of the Euclidean norm defined on bi-complex numbers, we have proved their different algebraic and topological properties. Suitable examples have been discussed.
Source: Filomat
DOI: 10.2298/fil2411957k
Authors: Sujeet Kumar, Binod Tripathy
Institution: Tripura University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409436618