76 citations · 343 across the 42 of their papers we have counts for
15 papers · 1 filter
A sharp bound for sampling widths in the uniform norm: kernel -optimal designs and oversampling
Sebastian Neumayer, Tino Ullrich
For every reproducing kernel Hilbert space with bounded kernel , we prove that the linear sampling widths and Gelfand widths in the unif…
Best -term trigonometric approximation in weighted Wiener spaces and applications
Moritz Moeller, Serhii Stasyuk, Tino Ullrich
In this paper we study best \(m\)-term trigonometric approximation in weighted Wiener spaces and its consequences for Besov and Sobolev spaces with bounded mixed derivative/differe…
Sampling projections in the uniform norm
David Krieg, Kateryna Pozharska, Mario Ullrich +1
We show that there are sampling projections on arbitrary -dimensional subspaces of with at most samples and norm of order , where is the space of co…
Haar frame characterizations of Besov-Sobolev spaces and optimal embeddings into their dyadic counterparts
Gustavo Garrigós, Andreas Seeger, Tino Ullrich
We study the behavior of Haar coefficients in Besov and Triebel-Lizorkin spaces on , for a parameter range in which the Haar system is not an unconditional basis. First…
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…
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…