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**Some sequence spaces defined by Orlicz functions**

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*E. Savas and R. Savas*

**Address.**

Department of Mathematics,

Yuzuncu Yil University

Van 65080, Turkey
**E-mail. **ekremsavas@yahoo.com

**Abstract.**

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.

**AMSclassification. **40D05, 40A05.

**Keywords. **Sequence spaces, Orlicz function, de la Vallee-Poussin
means.