Peter Kritzer

activity

20232026

collaborators

6 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 $§_{d}$ 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,…

math.NA2024

Selected aspects of tractability analysis

Peter Kritzer

We give an overview of certain aspects of tractability analysis of multivariate problems. This paper is not intended to give a complete account of the subject, but provides an insi…

math.NA2023

Homogeneous algorithms and solvable problems on cones

David Krieg, Peter Kritzer

We consider linear problems in the worst case setting. That is, given a linear operator and a pool of admissible linear measurements, we want to approximate the values of the opera…

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