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

Shyamal Debnath, Subrata Saha

Resumen


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 = (fk). We study some basic topological and algebraic properties of these spaces. Also some inclusion relations are studied.

Palabras clave


Ideal ; I – convergence ; Modulus function ; Difference sequence.

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Referencias


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DOI: http://dx.doi.org/10.4067/S0716-09172015000200003

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