David Krieg

activity

20142023

most citedA sharp upper bound for sampling numbers in

L_{2}

53 citations · 129 across the 16 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

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.NA2020

Lower Bounds for the Error of Quadrature Formulas for Hilbert Spaces

Aicke Hinrichs, David Krieg, Erich Novak +1

We prove lower bounds for the worst case error of quadrature formulas that use given sample points $\X_n = \{ x_1, \dots , x_n \}$. We are mainly interested in optimal point sets $…