Sharp upper and lower bounds for the moments of Bernstein polynomials

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摘要

We give upper and lower bounds for the moments and the uniform moments of Bernstein polynomials. Asymptotically, such bounds are best possible.

论文关键词：Bernstein polynomials,Bernstein moments,Best constants

论文评审过程：Received 20 March 2015, Accepted 19 May 2015, Available online 14 June 2015, Version of Record 14 June 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.05.113