Shu-Ni Chen, Wen-Tao Cheng, and Xiao-Ming Zeng Xiamen University, Anqing Normal University, Xiamen University
Abstract : In this paper, we propose the Stancu type generalization of a kind of modified $q$-Gamma operators. We estimate the moments of these operators and give the basic convergence theorem. We also obtain the Voronovskaja type theorem. Furthermore, we obtain the local approximation, rate of convergence and weighted approximation for these operators.