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Some New Generalized Difference Sequence Spaces with Modular Sequence Space

Gülcan Atici*, Cigdem A. BEKTAS**

* Department of Mathematics, Mus Alparslan University, Mus, Turkey.

** Department of Mathematics, Firat University, Elazig, Turkey.

Periodicity:January - March'2014
DOI : https://doi.org/10.26634/jmat.3.1.2937

Abstract

In this paper, the authors define the sequence space used in a sequence of Orlicz functions , generalized difference sequence and seminorm q. They examine some topological properties of this space.

Keywords

Difference Sequence Spaces, Orlicz Function, Seminorm.

How to Cite this Article?

Atici, G., and Bektas, C.A. (2014). Some New Generalized Difference Sequence Spaces With Modular Sequence Space. i-manager’s Journal on Mathematics, 3(1), 1-6. https://doi.org/10.26634/jmat.3.1.2937

References

[1]. Bektas, Ç. A., (2004). On some difference sequence spaces defined by Orlicz functions, Southeast Asian Bull. Math., Vol.28, pp.195-202.

[2]. Et, M. and Çolak, R., (1995). On generalized difference sequence spaces, Soochow J. Math., Vol.21, pp.377-386.

[3]. Et, M. and Esi, A., (2000). On Köthe-Toeplitz duals of generalized difference sequence spaces, Bull. Malaysian Math. Sc. Soc., Vol.23, pp.25-32.

[4]. Kamthan, P. K. and Gupta, M., (1981). Sequence Spaces and Series, Marcel Dekkar.

[5]. Kizmaz, H., (1981). On certain sequence spaces, Canad. Math. Bull., Vol.24, pp.169-176.

[6]. Lindenstrauss, J. and Tzafriri, L., (1965). On Orlicz sequence spaces, Israel J. Math., Vol.10, pp.379-390.

[7]. Wilansky, A. (1964). Functional Analysis, Blaisdell Publishing Company, New York.

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