On some I -convergent generalized difference sequence spaces associated with multiplier sequence defined by a sequence of modulli

In this article we introduce the sequence spaces cI (F, Λ, Δm,p), coI (F, Λ, Δm,p) and ℓ ∞I (F, Λ, Δm,p), associated with the multiplier sequence Λ = (λk), defined by a sequence of modulli F = (f k). We study...

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Detalles Bibliográficos
Autores principales: Debnath,Shyamal, Saha,Subrata
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2015
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000200003
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Sumario:In this article we introduce the sequence spaces cI (F, Λ, Δm,p), coI (F, Λ, Δm,p) and ℓ ∞I (F, Λ, Δm,p), associated with the multiplier sequence Λ = (λk), defined by a sequence of modulli F = (f k). We study some basic topological and algebraic properties of these spaces. Also some inclusion relations are studied.