Approximation by complex Stancu type summation-integral operators in compact disks

摘要

In this paper we introduce a class of complex Stancu type summation integral operators and study the approximation properties of these operators. We obtain a Voronovskaja-type result with quantitative estimate for these operators attached to analytic functions on compact disks. We also study the exact order of approximation. More important, our results show the overconvergence phenomenon for these complex operators.