3 citations · 3 across the 4 of their papers we have counts for
4 papers
Tractability of -approximation in hybrid function spaces
Peter Kritzer, Helene Laimer, Friedrich Pillichshammer
We consider multivariate -approximation in reproducing kernel Hilbert spaces which are tensor products of weighted Walsh spaces and weighted Korobov spaces. We study…
A reduced fast construction of polynomial lattice point sets with low weighted star discrepancy
Ralph Kritzinger, Helene Laimer, Mario Neumüller
The weighted star discrepancy is a quantitative measure for the performance of point sets in quasi-Monte Carlo algorithms for numerical integration. We consider polynomial lattice…
On combined component-by-component constructions of lattice point sets
Helene Laimer
The standard method for constructing generating vectors for good lattice point sets is the component-by-component construction. Numerical experiments have shown that the generating…
A reduced fast component-by-component construction of lattice point sets with small weighted star discrepancy
Ralph Kritzinger, Helene Laimer
The weighted star discrepancy of point sets appears in the weighted Koksma-Hlawka inequality and thus is a measure for the quality of point sets with respect to their performance i…