Lupas type Bernstein operators on square with two curved sides

The motive of this paper is to construct Lupa\c{s} type Bernstein operators $\big(B^{x_{1}}_{r,q}F\big)(x_{1},x_{2})$, $\big(B^{x_{2}}_{s,q}F\big)(x_{1},x_{2})$, their products $\big(P_{rs,q}F\big)(x_{1},x_{2})$ and $\big(Q_{sr,q}F\big)(x_{1},x_{2})$ and their Boolean sums $\big(S_{rs,q}F\big)(x_{1},x_{2})$ and $\big(T_{sr,q}F)(x_{1},x_{2}) $ on square $D_{h}$ with two curved side. Which interpolate a given function on the some edges and at the vertices of square. The remainders from the approximation formulas are computed using Peano's theorem.