Abstract
Generalizing E. Hlawka's concept of polynomial discrepancy we introduce a similar concept for sequences in the unit cube and on the sphere. We investigate the relation of this polynomial discrepancy to the usual discrepancy and obtain lower and upper bounds. In a final section some computational results are established.
Original language | English |
---|---|
Pages (from-to) | 107-117 |
Number of pages | 11 |
Journal | Journal of Computational and Applied Mathematics |
Volume | 84 |
Issue number | 1 |
DOIs | |
Publication status | Published - 21 Oct 1997 |
Keywords
- Discrepancy
- Quasi-Monte Carlo
- Spherical designs
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics