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math.NA2022★ 11 cited
Exponential tractability of -approximation with function values
David Krieg, Pawel Siedlecki, Mario Ullrich +1
We study the complexity of high-dimensional approximation in the -norm when different classes of information are available; we compare the power of function evaluations with t…
math.NA2022★ 53 cited
A sharp upper bound for sampling numbers in
Matthieu Dolbeault, David Krieg, Mario Ullrich
For a class of complex-valued functions on a set , we denote by its sampling numbers, i.e., the minimal worst-case error on , measured in , that can be achi…