𝔖 Bobbio Scriptorium
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Metrical results on the discrepancy of Halton–Kronecker sequences

✍ Scribed by Roswitha Hofer, Gerhard Larcher


Book ID
113021413
Publisher
Springer-Verlag
Year
2011
Tongue
French
Weight
213 KB
Volume
271
Category
Article
ISSN
0025-5874

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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 s