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Florenţa Tripşa

Publications and source records attributed to Florenţa Tripşa.

2 recordsLinked to original sources
arXiv2018

An improved Popoviciu-type inequality for a new Bernstein-type operator

Recently we introduced a new Bernstein-type operator using Pólya's urn model with negative replacement, and we showed that it satisfies a Popoviciu-type inequality with a constant slightly larger than that of the corresponding inequality for the classical Bernstein operator. In the present paper we prove an inequality for the rising factorial (of independent interest), and we use it in order to show that the constant in the Popoviciu inequality for the new operator is in fact smaller than the corresponding constant for the Bernstein operator.

math.CA↗
arXiv2017

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

Using Pólya'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.

math.CA↗