## On some new double sequence spaces of invariant means defined by Orlicz functions.(English)Zbl 1281.46006

Summary: The sequence space $$BV_\sigma$$ was introduced and studied by Mursaleen [Q. J. Math., Oxf. II. Ser. 34, 77–86 (1983; Zbl 0539.40006)]. In this paper, we extend $$BV_\sigma$$ to $$_2BV_\sigma(p,r,s)$$ and study some properties and inclusion relations on this space.

### MSC:

 46A45 Sequence spaces (including Köthe sequence spaces)

### Keywords:

invariant means; double sequence spaces; Orlicz function

Zbl 0539.40006
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