Some sequence spaces defined by Orlicz functions

E. Savas and R. Savas

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.