Higher-Order Bernstein–Kantorovich Operators

Abstract

In the present paper, we consider the higher-order (j-th order, \(j\in \textbf{N}_{0}\)) Bernstein–Kantorovich operators, which are connected with the Bernstein polynomials. We estimate some direct results including the Voronovskaja-kind asymptotic formula, simultaneous approximation and error estimations. In the end, we present comparative study through graphical representation and numerically interpret the upper bound of the error value.