A decomposition of measures in euclidean space yielding error bounds for quadrature formulas
type: Item
instance of: scholarly article
title: A decomposition of measures in euclidean space yielding error bounds for quadrature formulas
zbMATH Open document ID: 0612.52010
DOI: 10.1007/BF01200361
author: Erich Novak
published in: Mathematische Zeitschrift
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/173891
review text: By means of a technique due to Calderon and Zygmund we construct a decomposition of measures in \({\mathfrak R}^ s\) into ''small'' measures, where the size of a measure \(\mu\) is given by \(\| \mu \| \cdot diam(\sup p(\mu))^{\alpha}\), \(\alpha >0\). As an application of our result, we prove new error bounds for quadrature formulas.
Mathematics Subject Classification ID: 52A40
Mathematics Subject Classification ID: 41A55
zbMATH DE Number: 3990251
zbMATH Keywords: decomposition of measures
zbMATH Keywords: error bounds for quadrature formulas
MaRDI profile type: Publication
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OpenAlex ID: W1979226287
description: scientific article; zbMATH DE number 3990251