Tauberian theorems for statistical limit and statistical summability by weighted means of continuous fuzzy valued functions

Cemal Belen

Abstract


We introduce the notion of statistical limit of continuous fuzzy number valued functions at infinity and compare its relationship with ordinary limit. We obtain ordinary limit from statistical limit at infinity in terms of a slowly oscillating-like condition. We also establish a Tauberian theorem for statistical summability by weighted means of continuous fuzzy number valued functions.

Keywords


Statistical limit, Tauberian theorems, Fuzy-number-valued function, Fuzzy Riemann-Stieltjes integral, Weighted mean method

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