P. Kritzer

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math.NA2026

Worst-case $L_{p}$ -approximation of periodic functions using median lattice algorithms

Zexin Pan, Mou Cai, Josef Dick +2

We study the worst-case approximation of multivariate periodic functions from the weighted Korobov space $H_{d, I^\pm, I^^{3}}$ with smoothness $I^\pm > 1/2$ in the Lebesgue norm $L_{p} ([0, 1]^{d})$ …

math.NA2024

Computable error bounds for quasi-Monte Carlo using points with non-negative local discrepancy

Michael Gnewuch, Peter Kritzer, Art B. Owen +1

Let $f : [0, 1]^{d} \to R$ be a completely monotone integrand as defined by Aistleitner and Dick (2015) and let points $x_{0}, \dots, x_{n - 1} \in [0, 1]^{d}$ hav…

math.NA2024

A unified treatment of tractability for approximation problems defined on Hilbert spaces

Onyekachi Emenike, Fred J. Hickernell, Peter Kritzer

A large literature specifies conditions under which the information complexity for a sequence of numerical problems defined for dimensions $1, 2, \dots$ grows at a moderate rate,…

Worst-case Lp​-approximation of periodic functions using median lattice algorithms

Computable error bounds for quasi-Monte Carlo using points with non-negative local discrepancy

A unified treatment of tractability for approximation problems defined on Hilbert spaces

Worst-case $L_{p}$ -approximation of periodic functions using median lattice algorithms