T. Ullrich

activity

20102026

most citedGeneralized coorbit space theory and inhomogeneous function spaces of Besov-Lizorkin-Triebel type

76 citations · 343 across the 42 of their papers we have counts for

collaborators

Showing 2013 · math.NAShow all

3 papers · 2 filters

math.NA2013★ 4 cited

Approximation of mixed order Sobolev functions on the $d$ -torus -- Asymptotics, preasymptotics and $d$ -dependence

Thomas Kuehn, Winfried Sickel, Tino Ullrich

We investigate the approximation of $d$ -variate periodic functions in Sobolev spaces of dominating mixed (fractional) smoothness $s > 0$ on the $d$ -dimensional torus, where the appro…

math.NA2013★ 1 cited

Entropy and sampling numbers of classes of ridge functions

Sebastian Mayer, Tino Ullrich, Jan Vybiral

We study properties of ridge functions $f (x) = g (a \cdot x)$ in high dimensions $d$ from the viewpoint of approximation theory. The considered function classes consist of ridge functi…

math.NA2013

Lower bounds for the integration error for multivariate functions with mixed smoothness and optimal Fibonacci cubature for functions on the square

Dinh Dũng, Tino Ullrich

We prove lower bounds for the error of optimal cubature formulae for $d$ -variate functions from Besov spaces of mixed smoothness $B_{p, θ}^{α} (G^{d})$ in the case $0 < p, θ\le…

Approximation of mixed order Sobolev functions on the d-torus -- Asymptotics, preasymptotics and d-dependence

Entropy and sampling numbers of classes of ridge functions

Lower bounds for the integration error for multivariate functions with mixed smoothness and optimal Fibonacci cubature for functions on the square

Approximation of mixed order Sobolev functions on the $d$ -torus -- Asymptotics, preasymptotics and $d$ -dependence