A new Bernstein-type operator based on P\'olya's urn model with negative replacement
Classical Analysis and ODEs
2017-10-25 v1
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.
Cite
@article{arxiv.1710.08818,
title = {A new Bernstein-type operator based on P\'olya's urn model with negative replacement},
author = {Mihai N. Pascu and Nicolae R. Pascu and Florenţa Tripşa},
journal= {arXiv preprint arXiv:1710.08818},
year = {2017}
}