| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4608586 | Journal of Complexity | 2015 | 12 Pages |
Abstract
It is known that there is a constant c>0c>0 such that for every sequence x1,x2,…x1,x2,… in [0,1)[0,1) we have for the star discrepancy DN∗ of the first NN elements of the sequence that NDN∗≥c⋅logN holds for infinitely many NN. Let c∗c∗ be the supremum of all such cc with this property. We show c∗>0.0646363c∗>0.0646363, thereby improving the until now known estimates.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Gerhard Larcher,