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05/12/2023
Sampling recovery in uniform and other norms
We study the recovery of functions in the uniform norm based on function...
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04/27/2023
Tractability of sampling recovery on unweighted function classes
It is well-known that the problem of sampling recovery in the L_2-norm o...
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02/06/2023
New lower bounds for the integration of periodic functions
We study the integration problem on Hilbert spaces of (multivariate) per...
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05/09/2022
Exponential tractability of L_2-approximation with function values
We study the complexity of high-dimensional approximation in the L_2-nor...
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04/26/2022
A sharp upper bound for sampling numbers in L_2
For a class F of complex-valued functions on a set D, we denote by g_n(F...
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09/09/2021
Function recovery on manifolds using scattered data
We consider the task of recovering a Sobolev function on a connected com...
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08/26/2021
Lower bounds for integration and recovery in L_2
Function values are, in some sense, "almost as good" as general linear i...
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08/04/2021
Recovery of Sobolev functions restricted to iid sampling
We study L_q-approximation and integration for functions from the Sobole...
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11/03/2020
Function values are enough for L_2-approximation: Part II
In the first part we have shown that, for L_2-approximation of functions...
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09/23/2020
Random points are optimal for the approximation of Sobolev functions
We show that independent and uniformly distributed sampling points are a...
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04/01/2020
Lower Bounds for the Error of Quadrature Formulas for Hilbert Spaces
We prove lower bounds for the worst case error of quadrature formulas th...
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11/27/2019
Expected dispersion of uniformly distributed points
The dispersion of a point set in [0,1]^d is the volume of the largest ax...
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05/07/2019
On L_2-approximation in Hilbert spaces using function values
We study L_2-approximation of functions from Hilbert spaces H in which f...
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09/09/2017