Article contents
Irregularities of point distribution relative to convex polygons II
Published online by Cambridge University Press: 26 February 2010
Extract
Suppose that is a distribution of N points in the unit square U = [0, 1]2. For every measurable set B in U, let Z[
; B] denote the number of ponts of
in B, and write
where µ denotes the usual measure in ℝ2
MSC classification
- Type
- Research Article
- Information
- Copyright
- Copyright © University College London 1993
References
2.Beck, J. and Chen, W. W. L.. Note on irregularities of distribution II. Proc. London Math. Soc, 61 (1990), 251–272.CrossRefGoogle Scholar
3.Beck, J. and Chen, W. W. L.. Irregularities of point distribution relative to half-planes I. Mathematika, 40 (1993), 102–126.Google Scholar
- 3
- Cited by