Abstract

SOME LACUNARY SEQUENCE SPACES OF GENERALIZED ? ? ? DIFFERENCE OPERATOR AND INVARIANT MEANS DEFINED BY MUSIELAK- ORLICZ FUNCTIONS ON ? ? NORMED SPACE.

Balili, Ado

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The purpose of this paper is to introduce some sequence spaces which are defined by combining the concept of Musielak-Orlicz functions, Generalized? ? ?Difference operator, invariant means and Lacunary convergence on ? ? Normed Space. We also study some algebraic and topological properties of the newly introduced spaces and a few inclusion relations Keywords: Generalized ? ? ?Difference Operator, Invariant Means, Lacunary Sequence, Musielak-Orlicz Functions, ? ? Normed Space.

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