Weighted λ-statistical convergence connecting a statistical summability of sequences of fuzzy numbers and Korovkin-type approximation theorems

In this paper, we investigated the notion of generalized weighted λ-statistical convergence connecting \( \left( {\bar{N}_{\lambda } , p_{n} } \right)^{F} \)-statistical summability of sequences of fuzzy numbers. Some inclusion relations and other related results for the new summability methods are also given. Furthermore, we give a Korovkin-type approximation theorem for fuzzy positive linear operators using the notion of generalized weighted \( \left( {\bar{N}_{\lambda } , p_{n} } \right)^{F} \)-statistical summability.