A note on approximation properties of q-Durrmeyer operators
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摘要
In this paper, the approximation properties of q-Durrmeyer operators Dn,q(f;x) for f∈C[0,1] are discussed. The exact class of continuous functions satisfying approximation process limn→∞Dn,q(f;x)=f(x) is determined. The results of the paper provide an elaboration of the previously-known ones on operators Dn,q.
论文关键词：q-Bernstein polynomials,Positive linear operators,q-Durrmeyer operators,Approximation process,Continuous functions
论文评审过程：Available online 1 February 2010.
论文官网地址：https://doi.org/10.1016/j.amc.2010.01.086
