A new optimal algorithm for weighted approximation and integration over R
type: Item
instance of: scholarly article
title: A new optimal algorithm for weighted approximation and integration over R
zbMATH Open document ID: 0966.41018
DOI: 10.1023/A:1019164403899
author: Lei Han
author: Grzegorz W. Wasilkowski
published in: Numerical Algorithms
publication date: 2000-11-22T00:00:00Z
review text: This paper continues an earlier one of of \textit{G. W. Wasilkowski} and \textit{H. Wožniakowski} [J. Approximation Theory (to appear)] concerning the complexities of weighted approximation and weighted integration problems for smooth univariate functions defined over \(\mathbb R\). The authors propose a new (almost) optimal algorithm that, for a number of instances, is easier to implement. This new algorithm has a cost smaller than the original algorithm from an earlier paper. The new algorithm is also tested and two types of empirical results are given.
reviewed by: Karel Najzar
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 41A50
Mathematics Subject Classification ID: 65D15
Mathematics Subject Classification ID: 65D30
zbMATH DE Number: 1534758
zbMATH Keywords: weighted approximations
zbMATH Keywords: optimal algorithms
zbMATH Keywords: complexity
MaRDI profile type: Publication
full work available at URL: a:1019164403899
OpenAlex ID: W1552022819
description: scientific article; zbMATH DE number 1534758