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 some basic topological and algebraic properties of these spaces. Also some inclusion relati...

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Bibliographic Details
Published in:Proyecciones (Antofagasta) Vol. 34; no. 2; pp. 137 - 146
Main Authors: Debnath, Shyamal, Saha, Subrata
Format: Journal Article
Language:English
Portuguese
Spanish
Published: Universidad Católica del Norte, Departamento de Matemáticas 17.04.2025
Subjects:
MATHEMATICS
difference sequence
modulus function
I - convergence
Ideal
ISSN:0716-0917
Online Access:Get full text
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Summary: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.
ISSN:0716-0917
DOI:10.4067/S0716-09172015000200003