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Some sequence spaces defined by Orlicz functions

Ekrem Savaş; Rahmet Savaş — 2004

Archivum Mathematicum

In this paper we introduce a new concept of $λ$ -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 $λ$ -strongly convergent with respect to an Orlicz function then it is $λ$ -statistically convergent.

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