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On real valued $$I$$-convergent a-summable sequence spaces defined by sequences of Orlicz functions. (English) Zbl 1340.46004
Summary: We introduce some new sequence spaces using $$I$$-convergence and sequences of Orlicz functions and study some basic topological and algebraic properties of these spaces. Also, we investigate the relations between these spaces.

##### MSC:
 46A45 Sequence spaces (including Köthe sequence spaces) 40A05 Convergence and divergence of series and sequences 40C05 Matrix methods for summability
##### Keywords:
$$I$$-convergence; Orlicz function; matrix transformation