5 papers
Convex ordering of Pólya random variables and monotonicity of the error estimate of Bernstein-Stancu operators
Diana Meleşteu, Mihai N. Pascu, Nicolae R. Pascu
In the present paper we show that in Pólya's urn model, for an arbitrarily fixed initial distribution of the urn, the corresponding random variables satisfy a convex ordering with…
A Monotonicity Property of a New Bernstein Type Operator
Florenta Tripsa, Nicolae R. Pascu
In the present paper we prove that the probabilities of the Pólya urn distribution (with negative replacement) satisfy a monotonicity property similar to that of the binomial distr…
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…
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…
Neighborhoods of univalent functions
Mihai N. Pascu, Nicolae R. Pascu
The main result shows a small perturbation of a univalent function is again a univalent function, hence a univalent function has a neighborhood consisting entirely of univalent fun…