In this article we introduce the notion of relative uniform convergence of difference double sequence of positive linear functions. We define the difference double sequence spaces \(_2\ell _\infty (\varDelta , ru),~ _2c(\varDelta , ru),~ _2c_0(\varDelta , ru), _2{c_0}^B(\varDelta , ru),~_2c^B(\varDelta , ru), _2c^R(\varDelta , ru), ~_2{c_0}^R(\varDelta , ru)\) and study their topological properties.

中文翻译：

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正线性函数差分双序列的相对一致收敛

在本文中，我们介绍了正线性函数的差分双序列相对一致收敛的概念。我们定义差分双序列空间\(_2\ell _\infty (\varDelta , ru),~ _2c(\varDelta , ru),~ _2c_0(\varDelta , ru), _2{c_0}^B(\varDelta , ru),~_2c^B(\varDelta, ru), _2c^R(\varDelta, ru), ~_2{c_0}^R(\varDelta, ru)\)并研究它们的拓扑性质。