BELL DIFFERENCE SEQUENCE SPACES
By
Diptimayee Jena and Salila Dutta
Department of Mathematics, Utkal University, Vanivihar, India 751004
Email: jena.deeptimayee@gmail.com, saliladutta516@gmail.com
(Received: June 10, 2023; In format: August 01, 2023; Revised: March 01, 2024; Accepted: March 09, 2024)
DOI: https://doi.org/10.58250/jnanabha.2024.54107
Abstract
In this article we define the new sequence spaces Bˆ ∞ (∆), Bˆ c (∆) and Bˆ 0 (∆) by introducing a new regular matrix Bˆ ∆ with the composition of the Bell matrix Bˆ and the backward difference operator ∆. Also we have determined the Schauder basis, certain inclusion relations, α−, β− and γ−duals along with matrix transformations.
2020 Mathematical Sciences Classification: 46A45; 46A70; 46B03; 46B15.
Keywords and Phrases: sequence spaces, difference operator ∆, Schauder basis, Bell numbers, dual spaces.