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

Authors

  • Shyamal Debnath Tripura University.
  • Subrata Saha Tripura University.

DOI:

https://doi.org/10.4067/S0716-09172015000200003

Keywords:

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

Abstract

In this article we introduce the sequence spaces cI (F, Λ, ∆m,p), coI (F, Λ, Δm,p) and lI (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.

Author Biographies

Shyamal Debnath, Tripura University.

Department of Mathematics.

Subrata Saha, Tripura University.

Department of Mathematics.

References

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How to Cite

[1]
S. Debnath and S. Saha, “On some I -convergent generalized difference sequence spaces associated with multiplier sequence defined by a sequence of modulli”, Proyecciones (Antofagasta, On line), vol. 34, no. 2, pp. 137-146, 1.

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Artículos