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- W3097711101 abstract "In this article we study the Voronovskaja-type theorem for modified Bernstein operators which preserve polynomials. As an application we compare modified Bernstein operators in terms of the limitlimn→∞Bn,h1(x)(f,x)−f(x)Bn,h2(x)(f,x)−f(x) where Bn,hi(x)(f,x), i=1,2, are modified Bernstein operators withBn,hi(x)(1,x)=1,andBn,hi(x)(hi(x),x)=hi(x) for polynomials hi(x). The derived limit theorem can be used for selecting polynomial h(x) to achieve a better approximation for f(x)." @default.
- W3097711101 created "2020-11-09" @default.
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- W3097711101 date "2021-03-01" @default.
- W3097711101 modified "2023-10-17" @default.
- W3097711101 title "Voronovskaja-type theorem for modified Bernstein operators" @default.
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- W3097711101 doi "https://doi.org/10.1016/j.jmaa.2020.124728" @default.
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