Diaphony and square discrepancy of multidimensional cells
type: Item
instance of: scholarly article
title: Diaphony and square discrepancy of multidimensional cells
zbMATH Open document ID: 0713.11051
DOI: 10.1007/BF01170884
published in: Mathematical Notes
publication date: 1990-01-01T00:00:00Z
review text: The author compares the weighted diaphony as introduced by \textit{P. Zinterhof} [Österr. Akad. Wiss. Math. Nat. Kl., S.-Ber, Abt. II 185, 121-132 (1976; Zbl 0356.65007)], the weighted \(L^ 2\)-discrepancy, and the weighted \(L^{\infty}\)-discrepancy of distributions of N points in \(Q^ s=[0,1)^ s\). Symmetric distributions are especially considered. The remainder term in numerical integration is estimated by the weighted diaphony.
Mathematics Subject Classification ID: 11K38
Mathematics Subject Classification ID: 65D30
Mathematics Subject Classification ID: 11K06
zbMATH DE Number: 4173104
zbMATH Keywords: weighted diaphony
zbMATH Keywords: discrepancy
zbMATH Keywords: remainder term in numerical integration
author: Vsevolod F. Lev
reviewed by: Peter Schatte
MaRDI profile type: Publication
cites work: Q4127854
cites work: Q4749910
cites work: On irregularities of distribution, IV
cites work: Quadrature formulas for classes with constraints on the Fourier coefficients
description: scientific article; zbMATH DE number 4173104