Abstract
We study the Lw-norm (2 ≤ W < ∞) of the discrepancy of a sequence of points in the unit cube relative to similar copies of a given convex polygon. In particular, we prove the rather surprising result that the estimates obtained have the same order of magnitude as the analogous question when the sequence of points is replaced by a set of points.
| Original language | English |
|---|---|
| Pages (from-to) | 228-244 |
| Number of pages | 17 |
| Journal | Journal of the Australian Mathematical Society |
| Volume | 60 |
| Issue number | 2 |
| Publication status | Published - Apr 1996 |
Keywords
- Discrepancy
- Irregularities of distribution