Open AccessA Generalized of Nörlund Ideal Convergent Double Sequence Spaces
Author(s) -
Eduin Rodríguez,
Carlos Granados,
J. A. Ramírez Bermúdez
Publication year - 2021
Publication title -
wseas transactions on mathematics
Language(s) - English
Resource type - Journals
eISSN - 2224-2880
pISSN - 1109-2769
DOI - 10.37394/23206.2021.20.60
Subject(s) - mathematics , ideal (ethics) , sequence (biology) , algebraic number , topological space , convergence (economics) , pure mathematics , limit of a sequence , combinatorics , discrete mathematics , topology (electrical circuits) , mathematical analysis , limit (mathematics) , philosophy , genetics , epistemology , economics , biology , economic growth
In this paper, by using the Nörlund mean Nt and the notion of ideal double convergence, we introduce new sequence spaces c0Ι2 (Nt), and ℓ∞I2 (Nt). Besides, we study some topological and algebraic properties on these spaces. Furthermore, some inclusion concerning these spaces are proved.