On best polynomial approximation in \(L_ w^ 2 (S)\)
type: Item
instance of: scholarly article
title: On best polynomial approximation in \(L_ w^ 2 (S)\)
zbMATH Open document ID: 0846.41008
author: Z. Ditzian
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-09-10T00:00:00Z
review text: The best polynomial approximation is estimated by appropriate \(K\)-functionals in \(L^2_w (S)\) where \(w(x)\) is a Jacobi-type weight and \(S\) is a simplex (or prism). For \(L^p_w [-1, 1]\) the best polynomial approximation will be estimated for \(w_\lambda (x)= (1- x^2 )^{\lambda- 1/2}\) and \((2\lambda+ 1)/ (\lambda+ 1)< p< (2\lambda+ 1)/\lambda\).
reviewed by: Yingguang Shi
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 41A50
zbMATH DE Number: 859221
zbMATH Keywords: best approximation
zbMATH Keywords: \(K\)-functionals
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1316
OpenAlex ID: W1987838381
DOI: 10.1006/JMAA.1995.1316
description: scientific article; zbMATH DE number 859221