Fuzzy数差序列Beta阶的缺项统计收敛性
Lacunary statistical convergence of order beta in difference sequences of fuzzy numbers
摘要：
本文利用广义差算子$Δ^{m}$和缺项序列$θ$定义了模糊数列空间$N_{θ}^{β}\left( p,F,Δ^{m}\right) ,$ $S_{θ}^{β}\left( F,Δ^{m}\right) ,$ $w_{p}^{β}\left( F,Δ^{m}\right) $，并给出了它们之间的关系，其中$ β\in \left( 0,1\right] $和$p>0$ .最后，利用模函数$f$给出了与空间$ S_{θ}^{β}\left( F,Δ^{m}\right) $和$w_{p}^{β}\left( θ,f,F,Δ^{m}\right) $有关的包含定理.
英文摘要：
In this paper, we define the spaces $N_{θ}^{β}\left( p,F,Δ^{m}\right) ,$ $S_{θ}^{β}\left( F,Δ^{m}\right) ,$ $w_{p}^{β}\left( F,Δ^{m}\right) $ for sequences of fuzzy numbers using generalized difference operator $Δ^{m}$ and a lacunary sequence $θ$ and give some relations between them, where $ β\in \left( 0,1\right] $ and $p>0$. Furthermore, in the last section of paper, some inclusion theorems are presented related to the spaces $ S_{θ}^{β}\left( F,Δ^{m}\right) $ and $w_{p}^{β}\left( θ,f,F,Δ^{m}\right) $ according to modulus function $f$.
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