76 citations · 343 across the 42 of their papers we have counts for
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Bounds on Kolmogorov widths and sampling recovery for classes with small mixed smoothness
V. Temlyakov, T. Ullrich
Results on asymptotic characteristics of classes of functions with mixed smoothness are obtained in the paper. Our main interest is in estimating the Kolmogorov widths of classes w…
Approximation of functions with small mixed smoothness in the uniform norm
Vladimir Temlyakov, Tino Ullrich
In this paper we present results on asymptotic characteristics of multivariate function classes in the uniform norm. Our main interest is the approximation of functions with mixed…
A new upper bound for sampling numbers
Nicolas Nagel, Martin Schäfer, Tino Ullrich
We provide a new upper bound for sampling numbers associated to the compact embedding of a separable reproducing kernel Hilbert space into the space of sq…
On the optimal constants in the two-sided Stechkin inequalities
Thomas Jahn, Tino Ullrich
We address the optimal constants in the strong and the weak Stechkin inequalities, both in their discrete and continuous variants. These inequalities appear in the characterization…
Adaptive sampling recovery of functions with higher mixed regularity
Nadiia Derevianko, Tino Ullrich
We tensorize the Faber spline system from [14] to prove sequence space isomorphisms for multivariate function spaces with higher mixed regularity. The respective basis coefficients…
How anisotropic mixed smoothness affects the decay of singular numbers of Sobolev embeddings
Thomas Kuehn, Winfried Sickel, Tino Ullrich
We continue the research on the asymptotic and preasymptotic decay of singular numbers for tensor product Hilbert-Sobolev type embeddings in high dimensions with special emphasis o…