A new Bernstein-type operator based on Pólya's urn model with negative replacement

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 approxi...

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Bibliographic Details
Published in:arXiv.org 2017-10
Main Authors: Pascu, Mihai N, Pascu, Nicolae R, Tripşa, Florenţa
Format: Article
Language:English
Subjects:
Mathematical analysis
Mathematical models
Online Access:Get full text
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Summary: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.
ISSN:2331-8422