Generalized Bernstein polynomials with Pollaczek weight
type: Item
instance of: scholarly article
title: Generalized Bernstein polynomials with Pollaczek weight
zbMATH Open document ID: 1180.41018
published in: Journal of Approximation Theory
publication date: 2009-11-10T00:00:00Z
review text: Bernstein polynomials are a useful tool for approximating functions. The authors extend the applicability of these operators to a class of locally continuous functions. They consider a Pollaczek weight, which is rapidly decaying at the end points of the interval. The corresponding moduli of smoothness and K functionals are introduced to establish convergence theorems and error estimations.
Mathematics Subject Classification ID: 41A35
zbMATH DE Number: 5629214
zbMATH Keywords: Bernstein polynomials
zbMATH Keywords: K-functionals
zbMATH Keywords: locally continuous functions
author: Biancamaria Della Vecchia
author: Giuseppe Mastroianni
author: Jószef Szabados
MaRDI profile type: Publication
full work available at URL: j.jat.2009.02.008
OpenAlex ID: W2083960894
cites work: Q4439467
cites work: Approximation with exponential weights in \([-1,1]\)
cites work: Weighted approximation of functions with endpoint or inner singularities by Bernstein operators
cites work: Q3817079
cites work: Q3840971
DOI: 10.1016/J.JAT.2009.02.008
description: scientific article; zbMATH DE number 5629214