On irregularities of distribution III

W. W L Chen

On irregularities of distribution III

W. W L Chen^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

We study the L^w-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

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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.",

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