Generalized lacunary \({\Delta^m}\)-statistically convergent sequences of fuzzy numbers using a modulus function. (English) Zbl 1301.40002
Summary: In this paper, we introduce the space of lacunary strongly \(\Delta^m_{(p)}\)-summable sequences of fuzzy numbers and discuss relations between \(\Delta^m\)-statistically convergent sequences and lacunary \(\Delta^m\)-statistically convergent sequences of fuzzy numbers. We also study inclusion relations using different arbitrary lacunary sequences.
MSC:
40A05 | Convergence and divergence of series and sequences |
40C05 | Matrix methods for summability |
46A45 | Sequence spaces (including Köthe sequence spaces) |
26E50 | Fuzzy real analysis |
Keywords:
fuzzy number; modulus function; lacunary \(\Delta^m\)-statistical convergence; lacunary refinementReferences:
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