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Zbl 1195.46005
Mursaleen, M.; Mohiuddine, S.A.
Some new double sequence spaces of invariant means. (English)
[J] Glas. Mat., III. Ser. 45, No. 1, 139-153 (2010). ISSN 0017-095X

Summary: We define some new spaces of double sequences involving the idea of $\sigma $-mean; i.e., we define the spaces of strongly $\sigma $-convergent, absolutely $\sigma $-almost convergent, $\sigma $-almost bounded and absolutely $\sigma $-convergent double sequences and establish some inclusion relations along with some numerical examples.

MSC 2000:: *46A45 Sequence spaces
40C05 Matrix methods in summability
40H05 Functional analytic methods in summability

Keywords: double sequences; absolute almost convergence; $\sigma $-mean; strong $\sigma $-convergence; absolute $\sigma $-convergence; $\sigma $-almost boundedness; absolute $\sigma $-convergence

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Zentralblatt MATH Berlin [Germany]