Fixed volume discrepancy in the periodic case

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.

arXiv commentarXiv admin note: text overlap with arXiv:1709.08158