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http://dx.doi.org/10.4134/BKMS.b140625

STANCU TYPE GENERALIZATION OF MODIFIED GAMMA OPERATORS BASED ON q-INTEGERS  

Chen, Shu-Ni (School of Mathematical Sciences Xiamen University)
Cheng, Wen-Tao (School of Mathematical Sciences Anqing Normal University)
Zeng, Xiao-Ming (School of Mathematical Sciences Xiamen University)
Publication Information
Bulletin of the Korean Mathematical Society / v.54, no.2, 2017 , pp. 359-373 More about this Journal
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;
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