On Koksma-Hlawka inequality

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 $f{\chi }_{\Omega }$, with $f$ smooth and $\Omega$ a Borel subset of $[0,1{]}^d$.

Cited by in corpus (1)

• Discrepancy, separation and Riesz energy of finite point sets on compact connected Riemannian manifolds