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04/04/2023
Infinite-dimensional integration and L^2-approximation on Hermite spaces
We study integration and L^2-approximation of functions of infinitely ma...
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09/29/2021
Random sections of ℓ_p-ellipsoids, optimal recovery and Gelfand numbers of diagonal operators
We study the circumradius of a random section of an ℓ_p-ellipsoid, 0<p≤∞...
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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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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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01/07/2020
A note on the periodic L_2-discrepancy of Korobov's p-sets
We study the periodic L_2-discrepancy of point sets in the d-dimensional...
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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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10/28/2019