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math.FA2026
A sharp bound for sampling widths in the uniform norm: kernel -optimal designs and oversampling
Sebastian Neumayer, Tino Ullrich
For every reproducing kernel Hilbert space with bounded kernel , we prove that the linear sampling widths and Gelfand widths in the unif…
math.NA2026
Greedy sampling designs via reduced basis methods: optimal recovery in the uniform norm
Sebastian Neumayer, Kateryna Pozharska, Tino Ullrich
We study optimal sampling recovery in reproducing kernel Hilbert spaces (RKHS) in the uniform norm. For every RKHS with bounded kernel, we establish new comparisons between linear…