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

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3 papers · 1 filter

math.NA2023★ 3 cited

Sampling recovery in $L_{2}$ and other norms

David Krieg, Kateryna Pozharska, Mario Ullrich +1

We study the recovery of functions in various norms, including $L_{p}$ with $1 \leq p \leq \infty$ , based on function evaluations. We obtain worst case error bounds for general classes of…

math.NA2023★ 1 cited

Tractability of sampling recovery on unweighted function classes

David Krieg

It is well-known that the problem of sampling recovery in the $L_{2}$ -norm on unweighted Korobov spaces (Sobolev spaces with mixed smoothness) as well as classical smoothness classes…

math.NA2023★ 11 cited

New lower bounds for the integration of periodic functions

David Krieg, Jan Vybiral

We study the integration problem on Hilbert spaces of (multivariate) periodic functions. The standard technique to prove lower bounds for the error of quadrature rules uses bump fu…

Sampling recovery in L2​ and other norms

Tractability of sampling recovery on unweighted function classes

New lower bounds for the integration of periodic functions

Sampling recovery in $L_{2}$ and other norms