Polynomial discrepancy of sequences

Bernhard Klinger; Robert F. Tichy

doi:10.1016/S0377-0427(97)00117-9

Polynomial discrepancy of sequences

Bernhard Klinger^*, Robert F. Tichy

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

Generalizing E. Hlawka's concept of polynomial discrepancy we introduce a similar concept for sequences in the unit cube and on the sphere. We investigate the relation of this polynomial discrepancy to the usual discrepancy and obtain lower and upper bounds. In a final section some computational results are established.

Original language	English
Pages (from-to)	107-117
Number of pages	11
Journal	Journal of Computational and Applied Mathematics
Volume	84
Issue number	1
DOIs	https://doi.org/10.1016/S0377-0427(97)00117-9
Publication status	Published - 21 Oct 1997

Keywords

Discrepancy
Quasi-Monte Carlo
Spherical designs

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/S0377-0427(97)00117-9

Cite this

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title = "Polynomial discrepancy of sequences",

abstract = "Generalizing E. Hlawka's concept of polynomial discrepancy we introduce a similar concept for sequences in the unit cube and on the sphere. We investigate the relation of this polynomial discrepancy to the usual discrepancy and obtain lower and upper bounds. In a final section some computational results are established.",

keywords = "Discrepancy, Quasi-Monte Carlo, Spherical designs",

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year = "1997",

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T1 - Polynomial discrepancy of sequences

AU - Klinger, Bernhard

AU - Tichy, Robert F.

PY - 1997/10/21

Y1 - 1997/10/21

N2 - Generalizing E. Hlawka's concept of polynomial discrepancy we introduce a similar concept for sequences in the unit cube and on the sphere. We investigate the relation of this polynomial discrepancy to the usual discrepancy and obtain lower and upper bounds. In a final section some computational results are established.

AB - Generalizing E. Hlawka's concept of polynomial discrepancy we introduce a similar concept for sequences in the unit cube and on the sphere. We investigate the relation of this polynomial discrepancy to the usual discrepancy and obtain lower and upper bounds. In a final section some computational results are established.

KW - Discrepancy

KW - Quasi-Monte Carlo

KW - Spherical designs

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U2 - 10.1016/S0377-0427(97)00117-9

DO - 10.1016/S0377-0427(97)00117-9

M3 - Article

AN - SCOPUS:0031250351

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SP - 107

EP - 117

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

SN - 0377-0427

IS - 1

ER -

Polynomial discrepancy of sequences

Abstract

Keywords

ASJC Scopus subject areas

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