Q-Bernstein-Schurer Operators on a Triangle with One Curved Side

We construct q-Bernstein-Schurer type operators defined on a triangle with one curved side. They are extensions of the Bernstein-Schurer type operators, given by Schurer F., to the case of a curved domain. There are constructed the univariate q-Bernstein-Schurer type operators and their product operator and are studied some approximation properties of these operators.