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math.NA2023★ 1 cited
Marcinkiewicz--Zygmund inequalities for scattered and random data on the -sphere
Frank Filbir, Ralf Hielscher, Thomas Jahn +1
The recovery of multivariate functions and estimating their integrals from finitely many samples is one of the central tasks in modern approximation theory. Marcinkiewicz--Zygmund…
math.NA2022★ 4 cited
Sampling numbers of smoothness classes via -minimization
Thomas Jahn, Tino Ullrich, Felix Voigtlaender
Using techniques developed recently in the field of compressed sensing we prove new upper bounds for general (nonlinear) sampling numbers of (quasi-)Banach smoothness spaces in $L^…