47 citations · 331 across the 35 of their papers we have counts for
5 papers · 1 filter
Embeddings for Infinite-Dimensional Integration and -Approximation with Increasing Smoothness
M. Gnewuch, M. Hefter, A. Hinrichs +2
We study integration and -approximation on countable tensor products of function spaces of increasing smoothness. We obtain upper and lower bounds for the minimal errors, whic…
On a multi-dimensional Poissonian pair correlation concept and uniform distribution
Aicke Hinrichs, Lisa Kaltenböck, Gerhard Larcher +2
The aim of the present article is to introduce a concept which allows to generalise the notion of Poissonian pair correlation, a second-order equidistribution property, to higher d…
The minimal -dispersion of point sets in high-dimensions
Aicke Hinrichs, Joscha Prochno, Mario Ullrich +1
In this manuscript we introduce and study an extended version of the minimal dispersion of point sets, which has recently attracted considerable attention. Given a set $\mathscr P_…
The curse of dimensionality for numerical integration on general domains
Aicke Hinrichs, Joscha Prochno, Mario Ullrich
We prove the curse of dimensionality in the worst case setting for multivariate numerical integration for various classes of smooth functions. We prove the results when the domains…
Tractability properties of the weighted star discrepancy of the Halton sequence
Aicke Hinrichs, Friedrich Pillichshammer, Shu Tezuka
We study the weighted star discrepancy of the Halton sequence. In particular, we show that the Halton sequence achieves strong polynomial tractability for the weighted star discrep…