47 citations · 331 across the 35 of their papers we have counts for
4 papers · 2 filters
Irregularities of distributions and extremal sets in combinatorial complexity theory
Christoph Aistleitner, Aicke Hinrichs
In 2004 the second author of the present paper proved that a point set in which has star-discrepancy at most must necessarily consist of at least $c_{abs} d…
Equivalence of Weighted Anchored and ANOVA Spaces of Functions with Mixed Smoothness of Order one in
Michael Gnewuch, Mario Hefter, Aicke Hinrichs +2
We consider -weighted anchored and ANOVA spaces of functions with mixed first order partial derivatives bounded in a weighted norm with . The domain…
Embeddings of Weighted Hilbert Spaces and Applications to Multivariate and Infinite-Dimensional Integration
Michael Gnewuch, Mario Hefter, Aicke Hinrichs +1
We study embeddings and norm estimates for tensor products of weighted reproducing kernel Hilbert spaces. These results lead to a transfer principle that is directly applicable to…
Product rules are optimal for numerical integration in classical smoothness spaces
Aicke Hinrichs, Erich Novak, Mario Ullrich +1
We mainly study numerical integration of real valued functions defined on the -dimensional unit cube with all partial derivatives up to some finite order bounded by one.…