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On some double almost lacunary sequence spaces defined by Orlicz functions

Savas Ekrem (Yuzuncu Yýl University Education Faculty - Department of Mathematics Van, Turkey)
Patterson Richard F. (University of North Florida - Department of Mathematics and Statistics, Jacksonville, Florida)

In this paper we introduce a new concept for almost lacunary strong P-convergent with respect to an Orlicz function and examine some properties of the resulting sequence space. We also introduce and study almost lacunary statistical convergence for double sequences and we shall also present some inclusion theorems.

Keywords: double sequence, Orlicz functions