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08/03/2023
Randomized approximation of summable sequences – adaptive and non-adaptive
We prove lower bounds for the randomized approximation of the embedding ...
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07/13/2023
Optimal Algorithms for Numerical Integration: Recent Results and Open Problems
We present recent results on optimal algorithms for numerical integratio...
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03/03/2023
The curse of dimensionality for the L_p-discrepancy with finite p
The L_p-discrepancy is a quantitative measure for the irregularity of di...
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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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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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08/16/2019
Algorithms and Complexity for Functions on General Domains
Error bounds and complexity bounds in numerical analysis and information...
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05/22/2018