Abstract
Our work in this article is to construct the alpha$$ \alpha $$- Bernstein-Schurer operators which includes the q$$ q $$-integers. For these new operators, we discuss the shape preserving properties, namely, monotonicity and convexity. Next, we study the uniformly global approximation in terms of the Ditzian-Totik modulus of continuity and calculate the local direct estimate by Lipschitz-maximal functions. In the last Voronovskaja-type approximation theorems are also presented.