Mursaleen, M.; Alotaibi, A.; Sharma, Sunil K. Some new lacunary strong convergent vector-valued sequence spaces. (English) Zbl 1474.46036 Abstr. Appl. Anal. 2014, Article ID 858504, 8 p. (2014). Summary: We introduce some vector-valued sequence spaces defined by a Musielak-Orlicz function and the concepts of lacunary convergence and strong (\(A\))-convergence, where \(A = (a_{i k})\) is an infinite matrix of complex numbers. We also make an effort to study some topological properties and some inclusion relations between these spaces. Cited in 2 Documents MSC: 46B20 Geometry and structure of normed linear spaces 46A45 Sequence spaces (including Köthe sequence spaces) × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Lindenstrauss, J.; Tzafriri, L., On Orlicz sequence spaces, Israel Journal of Mathematics, 10, 379-390 (1971) · Zbl 0227.46042 · doi:10.1007/BF02771656 [2] Maligranda, L., Orlicz Spaces and Interpolation. 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