National Natural Science Foundation of China [61170324]; Class A Science and Technology Project of Education Department of Fujian Province of China [JA12324]; Natural Science Foundation of Fujian Province of China [2010J01012]In this paper we introduce a class of complex q-Bernstein-Schurer operators and study the approximation properties of these operators. We obtain the order of simultaneous approximation and a Voronovskaja-type result with a quantitative estimate for these complex q-Bernstein-Schurer operators attached to analytic functions in compact disks. More important, our results show the overconvergence phenomenon for these complex operators
