Fixed volume discrepancy in the periodic case

2017/10/30 by Temlyakov, V. N.
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1710.11499

Abstract

The smooth fixed volume discrepancy in the periodic case is studied here. It is proved that the Frolov point sets adjusted to the periodic case have optimal in a certain sense order of decay of the smooth periodic discrepancy. The upper bounds for the r-smooth fixed volume periodic discrepancy for these sets are established.

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