Tractability using periodized generalized Faure sequences

In Lemieux and Faure (2009), a construction closely related to generalized Faure sequences was introduced. Unlike generalized Faure sequences, this construction is extensible in the dimension and lends itself well to high-dimensional problems. In this paper, we consider a weighted space of functions for which this construction is particularly well suited and we use it to prove tractability in that space. This space of functions is a special case of one in which we have “finite-order weights”, which were studied recently by several authors. We compare our findings with these previously obtained results and provide numerical results to illustrate the practical potential of our approach.