On $\alpha\beta$-Statistical Convergence for Sequences of Fuzzy Mappings and Korovkin Type Approximation Theorem

Ali Karaisa, Uğu Kadak


Upon prior investigation on statistical convergence of fuzzy sequences, we study the notion of pointwise $\alpha\beta$-statistical convergence of fuzzy mappings of order $\gamma$. Also, we establish the concept of strongly
$\alpha\beta$-summable sequences of fuzzy mappings and investigate some inclusion relations. Further, we get an analogue a Korovkin-type approximation theorem for fuzzy positive linear operators with respect to $\alpha\beta$-statistical convergence. Furthermore, we apply the fuzzy Bernstein operator to construct an example in support of our result.

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