Journal of Advances in Mathematics and Computer Science

Some Lacunary Sequence Spaces of Invariant Means Defined by Musielak-Orlicz Functions

M. Aiyub *

Department of Mathematics, University of Bahrain, P.O. Box 32038, Sakhir, Bahrain.

*Author to whom correspondence should be addressed.

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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. We establish some inclusion relations between these spaces under some conditions. This study generalized some results [1].

Keywords: Lacunary sequence, Musielak-Orlicz function, Invariant mean

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