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 Stancu type generalization of modified Gamma operators based on $q$-integers Bull. Korean Math. Soc. 2017 Vol. 54, No. 2, 359-373 https://doi.org/10.4134/BKMS.b140625Published online March 9, 2017Printed March 31, 2017 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. Keywords : modified $q$-Gamma-Stancu operators, approximation theorem, weighted approximation, rate of convergence MSC numbers : 41A10, 41A25, 41A36 Downloads: Full-text PDF