A Koksma-Hlawka inequality for general discrepancy systems

DOI10.1016/J.JCO.2015.06.002zbMath1377.11084OpenAlexW1081919343MaRDI QIDQ890224

Florian Pausinger, Anne Marie Svane

Publication date: 9 November 2015

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2015.06.002

zbMATH Keywords

integral geometryHardy-Krause variationHarman variationKoksma-Hlawka theorem

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Irregularities of distribution, discrepancy (11K38)

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Approximation and convergence of the intrinsic volume ⋮ On the expected \(\mathcal{L}_2\)-discrepancy of jittered sampling ⋮ On functions of bounded variation ⋮ Integral Equations, Quasi-Monte Carlo Methods and Risk Modeling ⋮ Solitons and nonsmooth diffeomorphisms in conformal nets ⋮ Uniformly distributed sequences in the orthogonal group and on the Grassmannian manifold ⋮ Approximation methods for piecewise deterministic Markov processes and their costs ⋮ The effect of discretization on the mean geometry of a 2D random field ⋮ On quasi-Monte Carlo methods in weighted ANOVA spaces

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