On the relation between piecewise polynomial and rational approximation in \(L_p(\mathbb{R}^2)\)
type: Item
instance of: scholarly article
title: On the relation between piecewise polynomial and rational approximation in \(L_p(\mathbb{R}^2)\)
zbMATH Open document ID: 1055.41003
author: Yanyan Li
published in: Constructive Approximation
publication date: 2004-09-22T00:00:00Z
review text: The authors compare between the nonlinear approximation methods that use piecewise polynomials and those that use rational functions, in the bivariate case. Some relationship between the approximation spaces of piecewise polynomials defined on n triangles and those of bivariate rational functions of total degree n which are described by n parameters is obtained in this paper.
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A20
Mathematics Subject Classification ID: 41A25
zbMATH DE Number: 2101901
zbMATH Keywords: multivariate nonlinear approximation
zbMATH Keywords: bivariate rational functions
zbMATH Keywords: bivariate piecewise polynomials
zbMATH Keywords: Hardy-Littlewood maximal function
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2101901