A. Hinrichs

activity

20022023

most citedThe Curse of Dimensionality for Numerical Integration of Smooth Functions II

47 citations · 331 across the 35 of their papers we have counts for

collaborators

Showing 2015 · math.NAShow all

4 papers · 2 filters

math.NA2015★ 3 cited

An improved lower bound for the $L_{2}$ -discrepancy

Aicke Hinrichs, Gerhard Larcher

We give an improved lower bound for the $L_{2}$ -discrepancy of finite point sets in the unit square.

math.NA2015★ 21 cited

Equivalence of anchored and ANOVA spaces via interpolation

Aicke Hinrichs, Jan Schneider

We consider weighted anchored and ANOVA spaces of functions with first order mixed derivatives bounded in $L_{p}$ . Recently, Hefter, Ritter and Wasilkowski established conditions on…

math.NA2015★ 1 cited

Entropy numbers of spheres in Banach and quasi-Banach spaces

Aicke Hinrichs, Sebastian Mayer

We prove sharp upper bounds on the entropy numbers $e_{k} (S_{p}^{d - 1}, ℓ_{q}^{d})$ of the $p$ -sphere in $ℓ_{q}^{d}$ in the case $k \geq d$ and $0 < p \leq q \leq \infty$ . In particular, we…

math.NA2015★ 25 cited

Optimal quasi-Monte Carlo rules on order 2 digital nets for the numerical integration of multivariate periodic functions

Aicke Hinrichs, Lev Markhasin, Jens Oettershagen +1

We investigate quasi-Monte Carlo rules for the numerical integration of multivariate periodic functions from Besov spaces $S_{p, q}^{r} B (T^{d})$ with dominating mixed smoothnes…

An improved lower bound for the L2​-discrepancy

Equivalence of anchored and ANOVA spaces via interpolation

Entropy numbers of spheres in Banach and quasi-Banach spaces

Optimal quasi-Monte Carlo rules on order 2 digital nets for the numerical integration of multivariate periodic functions

An improved lower bound for the $L_{2}$ -discrepancy