A Generalized of Nörlund Ideal Convergent Double Sequence Spaces

In this paper, by using the Nörlund mean Nt and the notion of ideal double convergence, we introduce new sequence spaces c I2 0 (Nt ), cI2 (Nt ), and ℓ I2∞(Nt ). Besides, we study some topological and algebraic properties on these spaces. Furthermore, some inclusion concerning these spaces are prove...

Full description

Autores:
RODRÍGUEZ, EDUIN
Tipo de recurso:
Fecha de publicación:
2021
Institución:
Universidad del Atlántico
Repositorio:
Repositorio Uniatlantico
Idioma:
eng
OAI Identifier:
oai:repositorio.uniatlantico.edu.co:20.500.12834/810
Acceso en línea:
https://hdl.handle.net/20.500.12834/810
Palabra clave:
Nörlund I2-convergence, Nörlund I2-Cauchy, Nörlund I2-bounded
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc/4.0/
Description
Summary:In this paper, by using the Nörlund mean Nt and the notion of ideal double convergence, we introduce new sequence spaces c I2 0 (Nt ), cI2 (Nt ), and ℓ I2∞(Nt ). Besides, we study some topological and algebraic properties on these spaces. Furthermore, some inclusion concerning these spaces are proved.