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

Khan, Vakeel A.; Tabassum, Sabiha

Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 60, No. 2, 11-21 (2011).

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

Citations:

Zbl 0539.40006