Mathias Sonnleitner

activity

20192024

most citedRandom approximation of convex bodies in Hausdorff metric

4 citations · 18 across the 13 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

math.NA2020

On the relation of the spectral test to isotropic discrepancy and $L_{q}$ -approximation in Sobolev spaces

Mathias Sonnleitner, Friedrich Pillichshammer

This paper is a follow-up to the recent paper "A note on isotropic discrepancy and spectral test of lattice point sets" [J. Complexity, 58:101441, 2020]. We show that the isotropic…

math.NA2020★ 3 cited

Random points are optimal for the approximation of Sobolev functions

David Krieg, Mathias Sonnleitner

We show that independent and uniformly distributed sampling points are as good as optimal sampling points for the approximation of functions from the Sobolev space $W_{p}^{s} (Ω)$ on bo…

math.PR2020

Limit theorems for random points in a simplex

Anastas Baci, Zakhar Kabluchko, Joscha Prochno +2

In this work the $ℓ_{q}$ -norms of points chosen uniformly at random in a centered regular simplex in high dimensions are studied. Berry-Esseen bounds in the regime $1\leq q < \inf…

On the relation of the spectral test to isotropic discrepancy and Lq​-approximation in Sobolev spaces

Random points are optimal for the approximation of Sobolev functions

Limit theorems for random points in a simplex

On the relation of the spectral test to isotropic discrepancy and $L_{q}$ -approximation in Sobolev spaces