58 citations · 157 across the 61 of their papers we have counts for
4 papers · 1 filter
Approximation of analytic functions in Korobov spaces
Josef Dick, Peter Kritzer, Friedrich Pillichshammer +1
We study multivariate -approximation for a weighted Korobov space of analytic periodic functions for which the Fourier coefficients decay exponentially fast. The weights are d…
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 for (and for arbitrarily small) for nonperiodic -smooth cosine series usin…
On the existence of hyperplane sequences, with quality parameter and discrepancy bounds
Friedrich Pillichshammer, Gottlieb Pirsic
It is well-known that digital -nets and $(\Tfett,s)$-sequences over a finite field have excellent properties when they are used as underlying nodes in quasi-Monte Carlo in…
Optimal discrepancy bounds for higher order digital sequences over the finite field
Josef Dick, Friedrich Pillichshammer
We show that the discrepancy of the explicitly constructed infinite sequences of points in ove…