English

Fixed volume discrepancy in the periodic case

Numerical Analysis 2017-11-01 v1

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 rr-smooth fixed volume periodic discrepancy for these sets are established.

Keywords

Cite

@article{arxiv.1710.11499,
  title  = {Fixed volume discrepancy in the periodic case},
  author = {V. N. Temlyakov},
  journal= {arXiv preprint arXiv:1710.11499},
  year   = {2017}
}

Comments

arXiv admin note: text overlap with arXiv:1709.08158

R2 v1 2026-06-22T22:31:32.181Z