On Irregularities of Distribution Iii
نویسندگان
چکیده
Dedicated to the memory of Gerold Wagner Abstract We study the L w -norm (2 < W < oo) 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. 1991 Mathematics subject classification (Amer. Math. Soc): 11K38.
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