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Lacunary generalized difference statistical convergence in random 2-normed spaces. (English) Zbl 1284.40007

Summary: Recently, Mursaleen introduced the concept of statistical convergence in random 2-normed spaces. In this paper, we define and study the notion of lacunary \(\Delta^{n}\)-statistical convergence and lacunary \(\Delta^{n}\)-statistical Cauchy sequences in random 2-normed spaces using lacunary density and prove some interesting theorems.

MSC:

40J05 Summability in abstract structures
40A35 Ideal and statistical convergence
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