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On Lacunary strong σ-convergence with respect to a sequence of φ-fuctions

Başarir M.

Fasciculi Mathematici

2010

Nr 43

19-32

In this paper, we introduce some new sequence spaces combining with lacunary sequence, σ-convergence, a sequence of φ-functions and a sequence of modulus functions. We establish some inclusion relations between these spaces under some conditions. Also we studied connections between lacunary (A, φk, σ )-statistically convergence with these spaces.

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.