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. 

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