Approximation by Stancu-type α-Bernstein-Schurer-Kantorovich operators

Abstract

In the present article, we study the approximation properties of constructed operators based on the shape parameter α. We construct the Stancu-type operators of α-Bernstein–Schurer–Kantorovich operators. Here the shape parameter $\alpha \in [0,1]$ . We obtain the convergence of proposed operators in terms of Lipschitz-continuous functions and Peetre’s K-functional by using the modulus of continuity of orders one and two.

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