M. Gnewuch

most citedMulti- and Infinite-variate Integration and

L^{2}

-Approximation on Hilbert Spaces with Gaussian Kernels

1 citations · 1 across the 4 of their papers we have counts for

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math.NA2026

Embeddings of Reproducing Kernel Hilbert Spaces with General Weights

Michael Gnewuch, Peter Kritzer, Klaus Ritter

We study embeddings between reproducing kernel Hilbert spaces $H (K)$ of functions of $d \in N \cup {\infty}$ variables. The kernels $K$ are superpositions of weighted fi…

math.NA2024★ 1 cited

Multi- and Infinite-variate Integration and $L^{2}$ -Approximation on Hilbert Spaces with Gaussian Kernels

Michael Gnewuch, Klaus Ritter, Robin Rüßmann

We study integration and $L^{2}$ -approximation in the worst-case setting for deterministic linear algorithms based on function evaluations. The underlying function space is a reprodu…

math.NA2024

QMC integration based on arbitrary (t,m,s)-nets yields optimal convergence rates on several scales of function spaces

Michael Gnewuch, Josef Dick, Lev Markhasin +1

We study the integration problem over the $s$ -dimensional unit cube on four types of Banach spaces of integrands. First we consider Haar wavelet spaces, consisting of functions who…

Embeddings of Reproducing Kernel Hilbert Spaces with General Weights

Multi- and Infinite-variate Integration and L2-Approximation on Hilbert Spaces with Gaussian Kernels

QMC integration based on arbitrary (t,m,s)-nets yields optimal convergence rates on several scales of function spaces

Multi- and Infinite-variate Integration and $L^{2}$ -Approximation on Hilbert Spaces with Gaussian Kernels