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arXiv · 1710.08818

A new Bernstein-type operator based on P\'olya's urn model with negative replacement

Mihai N. Pascu·Nicolae R. Pascu·Florenţa Tripşa
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Abstract

Using P\'{o}lya's urn model with negative replacement we introduce a new Bernstein-type operator and we show that the new operator improves upon the known estimates for the classical Bernstein operator. We also provide numerical evidence showing that the new operator gives a better approximation when compared to some other classical Bernstein-type operators.

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Mihai N. Pascu, Nicolae R. Pascu, Florenţa Tripşa. 2017-10-19. A new Bernstein-type operator based on P\'olya's urn model with negative replacement. https://arxiv.org/abs/1710.08818

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