Most recently, some new double sequence spaces $B({\mathcal{M}}_u)$, $B({\mathcal{C}}_{\vartheta })$ where $\vartheta =\{b,bp,r,f,f_0\}$ and $B({\mathcal{L}}_q)$ for $0<q<\infty$ have been introduced as the domain of four-dimensional generalized difference matrix $B(r,s,t,u)$ in the double sequence spaces ${\mathcal{M}}_u$, ${\mathcal{C}}_{\vartheta }$ where $\vartheta =\{b,bp,r,f,f_0\}$ and ${\mathcal{L}}_q$ for $0<q<\infty$, and some topological properties, dual spaces, some new four-dimensional matrix classes and matrix transformations related to these spaces have also been studied by Tuğ and Başar and Tuğ (see [1], [2], [3], [4]). In this paper, we introduce new strongly almost convergent double sequence spaces $B[{\mathcal{C}}_f]$ and $B[{\mathcal{C}}_{f_0}]$ whose $B(r,s,t,u)$-transforms are in the spaces $[{\mathcal{C}}_f]$ and $[{\mathcal{C}}_{f_0}]$, respectively. The main body of this paper is designed by the investigation of the following hypothesis. Firstly, we examine some topological properties and inclusion relations including the new double sequence spaces $B[{\mathcal{C}}_f]$ and $B[{\mathcal{C}}_{f_0}]$. Also, we determine the α-dual, $\beta (bp)$-dual and γ-dual of the space $B[{\mathcal{C}}_f]$. Finally, we give the necessary and sufficient conditions on an infinite matrix transforming from $[{\mathcal{C}}_f]$ over ${\mathcal{C}}_f$, and we also characterize the classes $([{\mathcal{C}}_f];{\mathcal{M}}_u)$, $(B[{\mathcal{C}}_f];{\mathcal{C}}_f)$ and $(B[{\mathcal{C}}_f];{\mathcal{M}}_u)$.

最近，一些新的双序列空间 $乙（{\mathcal{中号}}_{ü}）$， $乙（{\mathcal{C}}_{\vartheta }）$ 在哪里 $\vartheta =\{b，bp，\mathrm{[R}，F，F_0\}$ 和 $乙（{\mathcal{大号}}_q）$ 为了 $0<q<\infty$ 已作为四维广义差分矩阵的域引入 $乙（\mathrm{[R}，s，Ť，ü）$ 在双序列空间 ${\mathcal{中号}}_{ü}$， ${\mathcal{C}}_{\vartheta }$ 在哪里 $\vartheta =\{b，bp，\mathrm{[R}，F，F_0\}$ 和 ${\mathcal{大号}}_q$ 为了 $0<q<\infty$，Tuğ和Başar和Tuğ还研究了一些拓扑特性，对偶空间，一些新的三维矩阵类以及与这些空间有关的矩阵变换（请参见[1]，[2]，[3]，[4] ）。在本文中，我们介绍了新的强几乎收敛的双序列空间$乙[{\mathcal{C}}_F]$ 和 $乙[{\mathcal{C}}_{F_0}]$ 谁的 $乙（\mathrm{[R}，s，Ť，ü）$-转换在空格中 $[{\mathcal{C}}_F]$ 和 $[{\mathcal{C}}_{F_0}]$， 分别。本文的主体是通过以下假设的研究而设计的。首先，我们研究了一些拓扑特性和包含关系，包括新的双序列空间$乙[{\mathcal{C}}_F]$ 和 $乙[{\mathcal{C}}_{F_0}]$。此外，我们确定α-对偶，$\beta （bp）$对偶和γ对偶$乙[{\mathcal{C}}_F]$。最后，我们给出了从$[{\mathcal{C}}_F]$ 超过 ${\mathcal{C}}_F$，并且我们还对类进行了表征 $（[{\mathcal{C}}_F];{\mathcal{中号}}_{ü}）$， $（乙[{\mathcal{C}}_F];{\mathcal{C}}_F）$ 和 $（乙[{\mathcal{C}}_F];{\mathcal{中号}}_{ü}）$。