On I-statistically convergent sequence spaces defined by sequences of Orlicz functions using matrix transformation

Shyamal Debnath, Jayanta Debnath


Recently Savas and Das [12] introduced the notion of I-statistical convergence of sequences of real numbers. In this article we introduced the sequence spaces WI(S) (M, A, p), W01 (S) (M, A, p) and WÍ(S) (M, A, p) of real numbers defined by /-statistical convergence using sequences of Orlicz function.We study some basic topological and algebraic properties of these spaces. We investigate some inclusion relations involving these spaces.

Palabras clave

Ideal; I-statistical convergence; Orlicz function; matrix transformation; I-convergencia estadística; función de Orlicz; transformación matricial.

Texto completo:



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DOI: http://dx.doi.org/10.4067/S0716-09172014000300004

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