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2 Fasciculi Mathematici

2 2009

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Some generalized difference sequence spaces defined by a sequence of Orlicz functions

Başarir M., Altundag S.

Fasciculi Mathematici

2009

Nr 41

17-30

In this paper, we define and examine some new difference sequence spaces combining with de la Vallee-Poussin mean and a sequence of Orlicz functions which completes the gap of the literature. We also introduce the concept of S -statistical convergent sequences and give some inclusion relations between these defined spaces with the space of -statistical convergent sequences.

On some classes of difference double sequence spaces

Tripathy B.C.

Fasciculi Mathematici

2009

Nr 41

135-142

In this article we introduce the difference double sequence spaces &some;defined over a seminormed space (X,q), seminormed by q. We examine some topological and algebraic properties of these spaces like symmetricity, solidness, monotonoc-ity, convergence free, nowhere densenes etc. We prove some inclusion results too.