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

摘要

In this paper, we investigated the notion of generalized weighted k-statistical convergence connecting ((N) over bar (lambda), p(n))(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 ((N) over bar (lambda), p(n))(F)-statistical summability.