Lipschitz constants for the Bernstein polynomials of a Lipschitz continuous function
type: Item
instance of: scholarly article
title: Lipschitz constants for the Bernstein polynomials of a Lipschitz continuous function
zbMATH Open document ID: 0615.41007
DOI: 10.1016/0021-9045(87)90087-6
author: D. F. Paget
author: Bruce Brown
author: David Elliott
published in: Journal of Approximation Theory
publication date: 1987-01-01T00:00:00Z
review text: The authors prove the following new minimizing behaviour of the Bernstein polynomials: If \(f\in Lip_ A\mu\), then for all \(n\geq 1\), \(B_ n(f)\in Lip_ A\mu\) also.
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 42C99
Mathematics Subject Classification ID: 41A36
Mathematics Subject Classification ID: 33E99
zbMATH DE Number: 3996303
zbMATH Keywords: Bernstein polynomials
reviewed by: László Leindler
MaRDI profile type: Publication
full work available at URL: 0021-9045(87)90087-6
OpenAlex ID: W2077011847
cites work: The modulus of continuity of the remainder in the approximation of Lipschitz functions
cites work: Q3848301
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description: scientific article; zbMATH DE number 3996303