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math.FA2026
On bounds between all s-numbers and widths of convex sets
Mario Ullrich
We prove for every s-number sequence , every bounded linear operator between normed spaces, and every , where ar…
math.NA2026
Constructive discretization and approximation in reproducing kernel Hilbert spaces
Abdellah Chkifa, Matthieu Dolbeault, David Krieg +1
We generalize the sparsification algorithm of Batson, Spielman and Srivastava, making one part of the result dimension-independent. In particular, we recover discretization inequal…
math.NA2026★ 2 cited
Approximation of Functions: Optimal Sampling and Complexity
David Krieg, Mario Ullrich
We consider approximation or recovery of functions based on a finite number of function evaluations. This is a well-studied problem in optimal recovery, machine learning, and numer…