Peter Kritzer

collaborators

4 papers

math.NA2026

Infinite sequences with optimal diaphony, periodic $L_{2}$ -discrepancy, and beyond

Peter Kritzer, Nicolas Nagel, Friedrich Pillichshammer

We investigate the periodic $L_{2}$ -discrepancy of infinite sequences $A^§_{d}$ in $[0, 1)^{d}$ and its analytic counterpart, the diaphony. We prove that infinite order-2 digital sequences…

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.NA2025

Universal $L_{2}$ -approximation using median lattice algorithms

Zexin Pan, Takashi Goda, Peter Kritzer

We study the problem of multivariate $L_{2}$ -approximation of functions in a weighted Korobov space using a median lattice-based algorithm recently proposed by the authors. In the or…

math.NA2025

$L_{2}$ -approximation using median lattice algorithms

Zexin Pan, Peter Kritzer, Takashi Goda

In this paper, we study the problem of multivariate $L_{2}$ -approximation of functions belonging to a weighted Korobov space. We propose and analyze a median lattice-based algorithm,…

Infinite sequences with optimal diaphony, periodic L2​-discrepancy, and beyond

Embeddings of Reproducing Kernel Hilbert Spaces with General Weights

Universal L2​-approximation using median lattice algorithms

L2​-approximation using median lattice algorithms

Infinite sequences with optimal diaphony, periodic $L_{2}$ -discrepancy, and beyond

Universal $L_{2}$ -approximation using median lattice algorithms

$L_{2}$ -approximation using median lattice algorithms