The aim in our study is giving a generalization of the two-dimensional (𝑝, 𝑞)-Bernstein-Stancu operators in a particular domain. In addition, by creating some direct results of these operators, rate of convergence is studied by Lipschitz type functions and modulus of continuity.

Here, we construct a modification of the (𝑝,𝑞)-Bernstein operators for the two-dimensional case. We study some important properties of these new operators. We estimate the rate of convergence of these operators using modulus of continuity then we give these estimation for functions belonging to class 𝐿𝑖𝑝𝑀(𝛼1,𝛼2).