Discrepancy operators and numerical integration on compact groups
type: Item
instance of: scholarly article
title: Discrepancy operators and numerical integration on compact groups
zbMATH Open document ID: 0820.11046
DOI: 10.1007/BF01293669
author: Clemens Amstler
published in: Monatshefte für Mathematik
publication date: 1995-09-14T00:00:00Z
full work available at URL: https://eudml.org/doc/178679
review text: \textit{W. Fleischer} [Anz. Österr. Akad. Wiss., Math.-Naturwiss. Kl., 127-131 (1981; Zbl 0499.47016)] has introduced so-called discrepancy operators for defining a general notion of discrepancy in compact spaces. In the present article this general concept is used to define a discrepancy for sequences in compact groups. The relations of this discrepancy to the classical \(L^ 2\)-discrepancy is discussed. Finally, a Koksma-Hlawka-type inequality is proved for functions in a weighted \(L^ 2\)-space.
Mathematics Subject Classification ID: 11K41
Mathematics Subject Classification ID: 22C05
zbMATH DE Number: 742700
zbMATH Keywords: discrepancy operators
zbMATH Keywords: sequences in compact groups
zbMATH Keywords: \(L^ 2\)-discrepancy
zbMATH Keywords: Koksma-Hlawka-type inequality
zbMATH Keywords: weighted \(L^ 2\)-space
reviewed by: Robert F. Tichy
MaRDI profile type: Publication
cites work: Diskrepanz in separablen metrischen Räumen
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description: scientific article; zbMATH DE number 742700