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math.CA2018
An improved Popoviciu-type inequality for a new Bernstein-type operator
Mihai N. Pascu, Nicolae R. Pascu, Florenţa Tripşa
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…
math.CA2017
A new Bernstein-type operator based on Pólya's urn model with negative replacement
Mihai N. Pascu, Nicolae R. Pascu, Florenţa Tripşa
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 B…