Some remarks on a discrepancy in compact groups
type: Item
instance of: scholarly article
title: Some remarks on a discrepancy in compact groups
zbMATH Open document ID: 0873.11048
author: Clemens Amstler
published in: Archiv der Mathematik
publication date: 1997-07-06T00:00:00Z
review text: The author studies a concept of \(L^2\)-discrepancy attributed to Hlawka and Fleischer, which was already considered earlier by \textit{H. Rindler} [see e.g. Monatsh. Math. 82, 207-235 (1976; Zbl 0361.43002)]. Proposition 1 follows already from the stronger Theorem 1 in \textit{H. Rindler} [Arch. Math. 26, 209-213 (1975; Zbl 0299.43003)]. Among other estimates an inequality of Erdös-Turan type for the discrepancy of compact abelian groups and some applications are given.
Mathematics Subject Classification ID: 11K38
Mathematics Subject Classification ID: 43A77
zbMATH DE Number: 1028196
zbMATH Keywords: \(L^ 2\)-discrepancy
zbMATH Keywords: discrepancy of compact abelian groups
reviewed by: Harald Rindler
MaRDI profile type: Publication
full work available at URL: s000130050057
OpenAlex ID: W2090290968
cites work: Discrepancy operators and numerical integration on compact groups
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DOI: 10.1007/S000130050057
description: scientific article; zbMATH DE number 1028196