Geodesic
Some sequence spaces defined by Orlicz functions
Archivum mathematicum, Tome 40 (2004) no. 1, pp. 33-40

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In this paper we introduce a new concept of $\lambda $-strong convergence with respect to an Orlicz function and examine some properties of the resulting sequence spaces. It is also shown that if a sequence is $\lambda $-strongly convergent with respect to an Orlicz function then it is $\lambda $-statistically convergent.
Classification : 40H05, 46A45
Keywords: sequence spaces; Orlicz function; de la Vallée-Poussin means 
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Savaş, E.; Savaş, R. Some sequence spaces defined by Orlicz functions. Archivum mathematicum, Tome 40 (2004) no. 1, pp. 33-40. http://geodesic.mathdoc.fr/item/ARM_2004__40_1_a3/