Mou Cai

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20222026

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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 $H_{d, α, γ}$ with smoothness $α > 1/2$ in the Lebesgue norm $L_{p} ([0, 1]^{d})$ for…

math.NA2026

A note on approximation in weighted Korobov spaces via multiple rank-1 lattices

Mou Cai, Takashi Goda

This paper studies the multivariate approximation of functions in weighted Korobov spaces using multiple rank-1 lattice rules. It has been shown by Kämmerer and Volkmer (2019) that…

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

A note on approximation in weighted Korobov spaces via multiple rank-1 lattices

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