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On the discrepancy of (0,1)-sequences

✍ Scribed by Friedrich Pillichshammer

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
236 KB
Volume
104
Category
Article
ISSN
0022-314X

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✦ Synopsis

We give bounds for the L p -discrepancy, pAN; of the van der Corput sequence in base 2. Further, we give a best possible upper bound for the star discrepancy of ð0; 1Þ-sequences and show that this bound is attained for the van der Corput sequence. Finally, we give a ð0; 1Þsequence with essentially smaller star discrepancy than for the van der Corput sequence.

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