The order of simultaneous approximation and Voronovskaja-type results with quantitative estimate for complex q-Kantorovich polynomials () attached to analytic functions on compact disks are obtained. In particular, it is proved that for functions analytic in , , the rate of approximation by the q-Kantorovich operators () is of order versus for the classical Kantorovich operators.
N. I. Mahmudov. M. Kara. "Approximation Theorems for Generalized Complex Kantorovich-Type Operators." J. Appl. Math. 2012 1 - 14, 2012. https://doi.org/10.1155/2012/454579