Approximation of Quasi-Monte Carlo worst case error in weighted spaces of infinitely times smooth functions

Matsumoto Makoto, Ryuichi Ohori, Takehito Yoshiki

In this paper, we consider Quasi-Monte Carlo (QMC) worst case error of weighted smooth function classes in $C^{\infty }[0,1{]}^s$ by a digital net over ${\mathbb{F}}_2$. We show that the r…