Relative uniform convergence of difference double sequence of positive linear functions

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.