Friedrich Pillichshammer | DeepAI

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Tiangang Cui
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∙ 07/21/2023

Bernstein approximation and beyond: proofs by means of elementary probability theory

Bernstein polynomials provide a constructive proof for the Weierstrass a...

0 Tiangang Cui, et al. ∙

∙ 04/28/2023

Quasi-Monte Carlo methods for mixture distributions and approximated distributions via piecewise linear interpolation

We study numerical integration over bounded regions in ℝ^s, s≥1 with res...

0 Tiangang Cui, et al. ∙

∙ 03/03/2023

The curse of dimensionality for the L_p-discrepancy with finite p

The L_p-discrepancy is a quantitative measure for the irregularity of di...

0 Erich Novak, et al. ∙

∙ 01/17/2023

The BMO-discrepancy suffers from the curse of dimensionality

We show that the minimal discrepancy of a point set in the d-dimensional...

0 Friedrich Pillichshammer, et al. ∙

∙ 01/04/2023

Grid-Based Decimation for Wavelet Transforms with Stably Invertible Implementation

The constant center frequency to bandwidth ratio (Q-factor) of wavelet t...

0 Nicki Holighaus, et al. ∙

∙ 12/12/2022

Tractability of L_2-approximation and integration in weighted Hermite spaces of finite smoothness

In this paper we consider integration and L_2-approximation for function...

0 Gunther Leobacher, et al. ∙

∙ 12/12/2022

Optimal periodic L_2-discrepancy and diaphony bounds for higher order digital sequences

We present an explicit construction of infinite sequences of points (x_0...

0 Friedrich Pillichshammer, et al. ∙

∙ 01/24/2022

Tractability of approximation in the weighted Korobov space in the worst-case setting

In this paper we consider L_p-approximation, p ∈{2,∞}, of periodic funct...

0 Adrian Ebert, et al. ∙

∙ 02/02/2021

Tractability of approximation in the weighted Korobov space in the worst-case setting – a complete picture

In this paper, we study tractability of L_2-approximation of one-periodi...

0 Adrian Ebert, et al. ∙

∙ 10/09/2020

On the relation of the spectral test to isotropic discrepancy and L_q-approximation in Sobolev spaces

This paper is a follow-up to the recent paper "A note on isotropic discr...

0 Mathias Sonnleitner, et al. ∙

∙ 10/07/2020

A note on Korobov lattice rules for integration of analytic functions

We study numerical integration for a weighted Korobov space of analytic ...

0 Friedrich Pillichshammer, et al. ∙

∙ 09/15/2020

Weighted integration over a cube based on digital nets and sequences

Quasi-Monte Carlo (QMC) methods are equal weight quadrature rules to app...

0 Josef Dick, et al. ∙

∙ 01/31/2020

Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals

We study the approximation of compact linear operators defined over cert...

0 Peter Kritzer, et al. ∙

∙ 01/16/2020

On Quasi-Monte Carlo Methods in Weighted ANOVA Spaces

In the present paper we study quasi-Monte Carlo rules for approximating ...

0 Peter Kritzer, et al. ∙

∙ 01/07/2020

A note on the periodic L_2-discrepancy of Korobov's p-sets

We study the periodic L_2-discrepancy of point sets in the d-dimensional...

0 Josef Dick, et al. ∙

∙ 10/28/2019

Tractability properties of the discrepancy in Orlicz norms

We show that the minimal discrepancy of a point set in the d-dimensional...

0 Josef Dick, et al. ∙

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