In this paper, we present statistical weighted mean ( briefly, (N?,p,q,1,1)) summability method for double sequences of fuzzy numbers and give necessary sufficient Tauberian conditions under which convergence a sequence follows from its (N?,p,q,1,1) summability. Furthermore, apply our new to prove Korovkin type approximation theorem positive linear operators.

In this article we recall a remarkable result stated as "For fixed ?, 0 < ? 1, the set of all bounded statistically convergent sequences order is closed linear subspace m (m real endowed with sup norm)" by Bhunia et al. (Acta Math. Hungar. 130 (1-2) (2012), 153-161) and to develop objective perception demonstrate that may not form in other sequence spaces. Also determine two different spaces...