In the present paper, we introduce a kind of Stancu variant of Durrmeyer-Schurer operators which includes non-negative real parameters α and β, and obtain the direct and converse results of approximation by the operators. Finally, we provide some graphs and number examples in order to illustrate the significance of our newly constructed operators. This work enriches linear positive operators and offers a practical tool for numerical approximation.
Jiang Bing (Thu,) studied this question.