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

• Debnath, Shyamal ^[1] ; Saha, Subrata ^[1]
  1. [1] Tripura University

     Tripura University

     India

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 34, Nº. 2, 2015, págs. 137-146
• Idioma: inglés
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• 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.