Approximation of analytic functions in annulus by linear operators

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摘要

We consider the space of analytic functions in annulus with the topology of compact convergence, find criterion for convergence of sequences in this space and prove the theorems on the approximation and statistical approximation of functions in this space by the sequences of linear and, in particular, linear k-positive operators.

论文关键词:Space of analytical functions,Korovkin-type theorem,Linear k-positive operators,Statistical convergence

论文评审过程:Available online 31 December 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.12.025