Approximation by complex Phillips–Stancu operators in compact disks under exponential growth conditions

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摘要

The present article deals with the approximation properties of the complex Phillips–Stancu operators. Here we study a Voronovskaja kind asymptotic formula with quantitative estimates for these operators attached to analytic functions and having growth of exponential order on compact disks. Also, we obtain the exact order of approximation.

论文关键词:Complex Phillips–Stancu operators,Voronovskaja kind asymptotic formula,Exact order of approximation in compact disks,Simultaneous approximation

论文评审过程:Available online 13 March 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.02.049