E. Novak

activity

20002023

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

47 citations · 245 across the 29 of their papers we have counts for

collaborators

Showing 2017 · math.NAShow all

2 papers · 2 filters

math.NA2017★ 17 cited

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…

math.NA2017

Tractability of multivariate problems for standard and linear information in the worst case setting: part II

Henryk Woźniakowski, Erich Novak

We study QPT (quasi-polynomial tractability) in the worst case setting for linear tensor product problems defined over Hilbert spaces. We assume that the domain space is a reproduc…

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

Tractability of multivariate problems for standard and linear information in the worst case setting: part II

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