A Koksma–Hlawka Inequality for Simplices

DOI10.1007/978-88-470-2853-1_3zbMath1263.41018OpenAlexW2161087345MaRDI QIDQ4913294

Luca Brandolini, Giancarlo Travaglini, Giacomo Gigante, Leonardo Colzani

Publication date: 5 April 2013

Published in: Trends in Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-88-470-2853-1_3

zbMATH Keywords

harmonic analysisdiscrepancyquadratureKoksma-Hlawka inequality

Mathematics Subject Classification ID

Approximate quadratures (41A55) Fourier series and coefficients in several variables (42B05) Irregularities of distribution, discrepancy (11K38)

Related Items (13)

Quasi-Monte Carlo integration for twice differentiable functions over a triangle ⋮ Scrambled geometric net integration over general product spaces ⋮ A Koksma-Hlawka inequality for general discrepancy systems ⋮ Quasi-Monte Carlo tractability of high dimensional integration over products of simplices ⋮ On functions of bounded variation ⋮ Quasi-Monte Carlo for an Integrand with a Singularity Along a Diagonal in the Square ⋮ Integral Equations, Quasi-Monte Carlo Methods and Risk Modeling ⋮ Transformations and Hardy--Krause Variation ⋮ Low-discrepancy sequences for piecewise smooth functions on the two-dimensional torus ⋮ A Least Squares Radial Basis Function Finite Difference Method with Improved Stability Properties ⋮ Functions of bounded variation, signed measures, and a general Koksma–Hlawka inequality ⋮ Low Discrepancy Constructions in the Triangle ⋮ EC-tractability of approximation problems in function spaces defined over products of simplices

This page was built for publication: A Koksma–Hlawka Inequality for Simplices