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On the discrepancy of sequences (αnδ)

✍ Scribed by J. Schoißengeier


Publisher
Akadmiai Kiad
Year
1981
Tongue
English
Weight
521 KB
Volume
38
Category
Article
ISSN
1588-2632

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On the discrepancy of (0,1)-sequences
✍ Friedrich Pillichshammer 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 236 KB

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