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Proyecciones (Antofagasta)

versión impresa ISSN 0716-0917

Proyecciones (Antofagasta) vol.34 no.2 Antofagasta jun. 2015

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

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

Shyamal Debnath

Subrata Saha

Tripura University

India 


ABSTRACT

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.

Key words : Ideal, I - convergence, modulus function, difference sequence.

AMS(2010) Classification No : 46A45, 40A05.


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Shyamal Debnath

Department of Mathematics,

Tripura University (A Central University)

Suryamaninagar, Agartala - 799022

West Tripura, India

e-mail : shyamalnitamath@gmail.com

 

Subrata Saha

Department of Mathematics,Tripura University,

Tripura University (A Central University)

Suryamaninagar, Agartala - 799022

West Tripura, India

e-mail : subratasaha2015@gmail.com

Received : February 2014. Accepted : April 2015

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