Multivariate inequalities of Chernoff type for classical orthogonal polynomials
type: Item
instance of: scholarly article
title: Multivariate inequalities of Chernoff type for classical orthogonal polynomials
zbMATH Open document ID: 1236.33022
author: Przemysław Rutka
author: Ryszard Smarzewski
published in: Journal of Mathematical Analysis and Applications
publication date: 2012-02-11T00:00:00Z
review text: The authors present two-sided Chernoff-type inequalities for the error of the best approximation of a smooth \(d\)-variate function by polynomials of total degree less than \(k\) in the \(L^{2}_{w}\)-norm. The authors make the assumption that the \(d\)-variate weight function \(w\) has one-dimensional classical component weights, which satisfy Pearson differential equations.
reviewed by: Stamatis Koumandos
Mathematics Subject Classification ID: 33C50
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A50
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 6005673
zbMATH Keywords: Chernoff-type inequalities
zbMATH Keywords: multivariate classical orthogonal polynomials
zbMATH Keywords: optimal constants
zbMATH Keywords: generic differential equations
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.11.012
OpenAlex ID: W1977125271
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DOI: 10.1016/J.JMAA.2011.11.012
description: scientific article; zbMATH DE number 6005673