English

On Koksma-Hlawka inequality

Functional Analysis 2011-06-24 v1

Abstract

The classical Koksma Hlawka inequality does not apply to functions with simple discontinuities. Here we state a Koksma Hlawka type inequality which applies to piecewise smooth functions fχΩf\chi_{\Omega}, with ff smooth and Ω\Omega a Borel subset of [0,1]d[0,1]^{d}.

Keywords

Cite

@article{arxiv.1106.4673,
  title  = {On Koksma-Hlawka inequality},
  author = {L. Brandolini and L. Colzani and G. Gigante and G. Travaglini},
  journal= {arXiv preprint arXiv:1106.4673},
  year   = {2011}
}
R2 v1 2026-06-21T18:26:27.118Z