Bull. Korean Math. Soc. 2017; 54(2): 359-373
Online first article March 9, 2017 Printed March 31, 2017
https://doi.org/10.4134/BKMS.b140625
Copyright © The Korean Mathematical Society.
Shu-Ni Chen, Wen-Tao Cheng, and Xiao-Ming Zeng
Xiamen University, Anqing Normal University, Xiamen University
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
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