Lacunary statistical convergence of order β in difference sequences of fuzzy numbers

Abstract

In this paper, we define the spaces N β θ (p, F, � m ) ,S β (F, � m ) ,w β (F, � m ) for sequences of fuzzy numbers using generalized difference operatorm and a lacunary sequence θ and give some relations between them, where β ∈ (0, 1) and p> 0. Furthermore, in the last section of paper, some inclusion theorems are presented related to the spaces S β θ (F, � m ) and w β (θ, f, F, � m ) according to modulus function f .