
Function recovery on manifolds using scattered data
We consider the task of recovering a Sobolev function on a connected com...
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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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Recovery of Sobolev functions restricted to iid sampling
We study L_qapproximation and integration for functions from the Sobole...
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Function values are enough for L_2approximation: Part II
In the first part we have shown that, for L_2approximation of functions...
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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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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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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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On L_2approximation in Hilbert spaces using function values
We study L_2approximation of functions from Hilbert spaces H in which f...
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On the Dispersion of Sparse Grids
For any natural number d and positive number ε, we present a point set i...
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David Krieg
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