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.b140625
Published online 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
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