Lattice rules for nonperiodic smooth integrands

Josef Dick, Dirk Nuyens, Friedrich Pillichshammer

The aim of this paper is to show that one can achieve convergence rates of $N^{-\alpha +\delta }$ for $\alpha >1/2$ (and for $\delta >0$ arbitrarily small) for nonperiodic $\alpha$-smooth cosine series usin…