模糊数列的加权缺项统计收敛和加权缺项收敛

Weighted Lacunary Statistical Convergence and Weighted Lacunary Convergence for a Sequence of Fuzzy Numbers

以缺项数列θ={k_r}和加权数列p={p_k}为框架,定义了两种新的模糊数列收敛的概念——加权缺项统计收敛和加权缺项收敛.同时,给出了模糊数列空间S(N,θ)和W(Nˉθ)的表示,并在研究空间性质的基础上证明了相关定理.最后,讨论了两种模糊数列空间的包含关系,结果表明:(1)W(N,θ)?S(N,θ);(2)当p_kD(x_k,x_0)≤M时,S(N,θ)?W(Nˉθ).

The concepts of the weighted lacunary statistical convergence and weighted lacunary convergence for a sequence of fuzzy numbers are defined. In addition, their properties of the space of weighted lacunary statistical convergence and the space of weighted lacunary convergence are investigated. At the same time, the relationship among these two spaces is discussed.