Some Lacunary Sequence Spaces of Invariant Means Defined by Musielak-Orlicz Functions on 2-Norm Space

Mohammad Aiyub

Department of Mathematics, University of Bahrain, Sakhir, Bahrain.

DOI: 10.4236/am.2014.516248                

Abstract

The purpose of this paper is to introduce and study some sequence spaces which are defined by combining the concepts of sequences of Musielak-Orlicz functions, invariant means and lacunary convergence on 2-norm space. We establish some inclusion relations between these spaces under some conditions.

Keywords

Invariant Means, Musielak-Orlicz Functions, 2-Norm Space, Lacunary Sequence

Conflicts of Interest

The authors declare no conflicts of interest.

References

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