Title of article
On the discrepancy of (0,1)-sequences
Author/Authors
Friedrich Pillichshammer، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
14
From page
301
To page
314
Abstract
We give bounds for the Lp-discrepancy, , of the van der Corput sequence in base 2. Further, we give a best possible upper bound for the star discrepancy of (0,1)-sequences and show that this bound is attained for the van der Corput sequence. Finally, we give a (0,1)-sequence with essentially smaller star discrepancy than for the van der Corput sequence.
Keywords
L p-discrepancy , Star discrepancy , van der Corput sequence , ?0 , 1?-Sequence
Journal title
Journal of Number Theory
Serial Year
2004
Journal title
Journal of Number Theory
Record number
715546
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