Saturation and inverse results for the Bernstein max-product operator
type: Item
instance of: scholarly article
title: Saturation and inverse results for the Bernstein max-product operator
zbMATH Open document ID: 1340.41034
published in: Periodica Mathematica Hungarica
publication date: 2015-01-07T00:00:00Z
review text: The nonlinear Bernstein max-product approximation operators were defined and formally studied in [\textit{S. G. Gal}, Shape-preserving approximation by real and complex polynomials. Basel: Birkhäuser (2008; Zbl 1154.41002)]. Several articles were devoted to their study and to some related max-product type operators. As explained in the introduction of this paper, for large classes of functions, the Bernstein max-product operators improve the order of approximation to the Jackson-type order. For these operators, the authors determine the saturation order and its associated special class of functions. A local inverse result is also obtained.
Mathematics Subject Classification ID: 41A36
Mathematics Subject Classification ID: 41A40
Mathematics Subject Classification ID: 41A27
Mathematics Subject Classification ID: 41A25
zbMATH DE Number: 6384182
zbMATH Keywords: Bernstein max-product operator
zbMATH Keywords: saturation order
zbMATH Keywords: local inverse result
author: Lucian Coroianu
author: Sorin G. Gal
MaRDI profile type: Publication
full work available at URL: s10998-014-0062-z
OpenAlex ID: W1983854317
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DOI: 10.1007/S10998-014-0062-Z
description: scientific article; zbMATH DE number 6384182