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Weighted discrepancy of Faure-Niederreiter nets for a certain sequence of weights

Published online by Cambridge University Press:  17 April 2009

Friedrich Pillichshammer
Friedrich Pillichshammer
Affiliation:
Institut für Analysis, Universität Linz, Altenbergerstraße 69, A-4040 Linz, Austria, email: friedrich.pillichshammer@jku.at
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Abstract

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In this note we give a bound for the weighted star discrepancy of Faure-Niederreiter (0, m, s)-nets in prime-power base b ≥ s – 1 for the special sequence of weights given by γi = 1/i2, i ≥ 1.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 67 , Issue 3 , June 2003 , pp. 377 - 382
Copyright
Copyright © Australian Mathematical Society 2003

References

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