Chebyshev approximation of multivariable functions by the exponential expression
type: Item
instance of: scholarly article
title: Chebyshev approximation of multivariable functions by the exponential expression
zbMATH Open document ID: 1470.41031
author: P. S. Malachivskyy
author: L. S. Melnychok
author: Ya. V. Pizyur
published in: Cybernetics and Systems Analysis
publication date: 2021-08-04T00:00:00Z
review text: In multivariate functional approximation, Chebyshev methods of approaching this problem are of particular value. In this article, the authors construct approximations by approximating the logarithm of the approximant first, and then taking exponentials. The approximations are carried out by a weighted least-squares (best) approximation and convergence results are offered. There are considerations of particular cases up to three space dimensions.
Mathematics Subject Classification ID: 41A63
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 65D15
zbMATH DE Number: 7378081
zbMATH Keywords: Chebyshev approximation by exponential expression
zbMATH Keywords: multivariable functions
zbMATH Keywords: mean-power approximation
zbMATH Keywords: least squares method
zbMATH Keywords: variable weight function
Wikidata QID: Q115604938
reviewed by: Martin D. Buhmann
MaRDI profile type: Publication
full work available at URL: s10559-021-00367-5
OpenAlex ID: W3164052015
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DOI: 10.1007/S10559-021-00367-5
description: scientific article; zbMATH DE number 7378081