H. Wozniakowski

activity

20172022

L_{2}

-approximation with function values

11 citations · 11 across the 2 of their papers we have counts for

collaborators

3 papers

math.NA2022★ 11 cited

Exponential tractability of $L_{2}$ -approximation with function values

David Krieg, Pawel Siedlecki, Mario Ullrich +1

We study the complexity of high-dimensional approximation in the $L_{2}$ -norm when different classes of information are available; we compare the power of function evaluations with t…

math.NA2020

Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals

Peter Kritzer, Friedrich Pillichshammer, Henryk Woźniakowski

We study the approximation of compact linear operators defined over certain weighted tensor product Hilbert spaces. The information complexity is defined as the minimal number of a…

math.NA2017

Reproducing Kernels of Sobolev Spaces on $R^{d}$ and Applications to Embedding Constants and Tractability

Erich Novak, Mario Ullrich, Henryk Woźniakowski +1

The standard Sobolev space $W_{2}^{s} (R^{d})$ , with arbitrary positive integers $s$ and $d$ for which $s > d /2$ , has the reproducing kernel $$ K_{d,s}(x,t)=\int_{\mathbb{R}^d}\fra…

Exponential tractability of L2​-approximation with function values

Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals

Reproducing Kernels of Sobolev Spaces on Rd and Applications to Embedding Constants and Tractability

Exponential tractability of $L_{2}$ -approximation with function values

Reproducing Kernels of Sobolev Spaces on $R^{d}$ and Applications to Embedding Constants and Tractability