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Generalized \(\Delta^m\)-statistical convergence in probabilistic normed space. (English) Zbl 1234.40003
Summary: We define the concepts of \(S^\lambda_{\Delta^m}\)-statistical convergence and \(S^\lambda_{\Delta^m}\)-statistically Cauchy sequence in probabilistic normed spaces and give some results.

MSC:
40A35 Ideal and statistical convergence
40J05 Summability in abstract structures (should also be assigned at least one other classification number from Section 40-XX)
46S50 Functional analysis in probabilistic metric linear spaces
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