Some Approximation Properties of $\alpha$-Stancu-Chlodowsky Operators

Source abstract

In the present paper, we construct Stancu variant of $\alpha$-Chlodowsky operators based on a parameter $0\leq\alpha\leq1$. We calculate some needed moment estimates. Next, we investigate direct results of the proposed operators. Also, we derive the order of convergence in terms of the weighted modulus of continuity and in order to check the asymptotic behavior of proposed operators we present Voronovskaya's type approximation theorem. Finally, we provide various illustrations and numerical example to demonstrate the convergence performance, accuracy and significance of the constructed operators.