MMN-1745
Approximation by $q$-Durrmeyer - Stancu polynomials in compact disks in the case of $q>1$
M. Kara;Abstract
In this paper, the order of simultaneous approximation and Voronovskaja -type results with quantitative estimate for complex q-Kantorovich polynomials (q>0) attached to analytic functions on compact disks are obtained. In particular, it is proved that for functions analytic in {z∈C∶ |z|q, the rate of approximation by the q-Durrmeyer - Stancu operators (q>1) is of order q^(-n) versus 1⁄n for the classical q-Durrmeyer - Stancu operators.
Vol. 18 (2017), No. 2, pp. 859-872