2016•Journal of Intelligent & Fuzzy SystemsRequires access

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

Hıfsı Altınok, Damla Yağdiran

Abstract

In this paper, we define the spaces Nθβ(p,F,Δm),Sθβ(F,Δm),wpβ(F,Δm) for sequences of fuzzy numbers using generalized difference operator Δm 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 Sθβ(F,Δm) and wpβ(θ,f,F,Δm) according to modulus function f.

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Key concepts: Lacunary function, Mathematics, Modulo operation, Sequence (biology), Order (exchange), Operator (biology), Section (typography), Convergence (economics)