Approximation by polynomials and ridge functions of classes of \(s\)-monotone radial functions
type: Item
instance of: scholarly article
title: Approximation by polynomials and ridge functions of classes of \(s\)-monotone radial functions
zbMATH Open document ID: 1145.41005
author: V. N. Konovalov
author: D. Leviatan
author: Vitaly Maiorov
published in: Journal of Approximation Theory
publication date: 2008-06-09T00:00:00Z
review text: The approximation by polynomials, ridge functions and radial functions is a central part of the work in this article. The order of approximation of polynomials and ridge functions is analysed with respect to the \(L_q\)-norm of \(s\)-monotone radial functions in \(L_p\). The spaces are defined with respect to an interval on the real line. Both upper as well as lower bounds are provided for all \(p\) and \(q\) in \([1,\infty]\). Therefore, the exact orders of approximation are established.
reviewed by: Martin D. Buhmann
Mathematics Subject Classification ID: 41A46
zbMATH DE Number: 5285716
zbMATH Keywords: \(s\)-monotone functions
zbMATH Keywords: radial functions
zbMATH Keywords: polynomials
zbMATH Keywords: ridge functions
MaRDI profile type: Publication
full work available at URL: j.jat.2007.10.001
OpenAlex ID: W2092384741
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DOI: 10.1016/J.JAT.2007.10.001
description: scientific article; zbMATH DE number 5285716