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On statistical summability (N¯,P) of sequences of fuzzy numbers

Talo Özer (Celal Bayar University, Faculty of Art and Sciences, Department of Mathematics, Manisa, Turkey)
Balb Canan (Private Central Vocational and Technical Anatolian High School, Manisa, Turkey)

In this paper we introduce the concept of statistical summability (N¯,p) of sequences of fuzzy numbers. We also present Tauberian conditions under which statistical convergence of a sequence of fuzzy numbers follows from its statistical summability (N¯,p). Furthermore, we prove a Korovkin-type approximation theorem for fuzzy positive linear operators by using the notion of statistical summability (N¯,p).

Keywords: sequences of fuzzy numbers, summability by weigted mean, Tauberian conditions, statistical convergence, fuzzy Korovkin theory