Approximation by the Parametric Generalization of Baskakov–Kantorovich Operators Linking with Stancu Operators

Abstract

We construct the Baskakov–Kantorovich operators based on shape parameter α by linking with Stancu operators to approximate functions over unbounded intervals. We establish local approximation results with the help of suitable modulus of continuity, K-functional and Lipschitz-type space. Further, we obtain the weighted approximation properties and calculate the rate of convergence with a view of weighted modulus of continuity of our newly defined operators. Moreover, we present several numerical results for viewing the convergence and illustrate the error of approximation of aforesaid operators.