Numerical integration and discrepancy, a new approach

DOI10.1002/mana.200910842zbMath1187.41015OpenAlexW1981738108MaRDI QIDQ5852033

Hans Triebel

Publication date: 26 January 2010

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200910842

zbMATH Keywords

discrepancyFaber systemSobolev-Besov spaceHlawka-Zaremba formula

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multidimensional problems (41A63) Approximate quadratures (41A55) Irregularities of distribution, discrepancy (11K38)

Related Items (8)

Optimal \(L_{p}\)-discrepancy bounds for second order digital sequences ⋮ DISCREPANCY OF SECOND ORDER DIGITAL SEQUENCES IN FUNCTION SPACES WITH DOMINATING MIXED SMOOTHNESS ⋮ Discrepancy of Digital Sequences: New Results on a Classical QMC Topic ⋮ The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth ⋮ Quasi-Monte Carlo methods for integration of functions with dominating mixed smoothness in arbitrary dimension ⋮ Discrepancy of Hammersley points in Besov spaces of dominating mixed smoothness ⋮ \(L_p\)- and \(S_{p, q}^r B\)-discrepancy of the symmetrized van der Corput sequence and modified Hammersley point sets in arbitrary bases ⋮ Proof techniques in quasi-Monte Carlo theory

Cites Work

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• ON IRREGULARITIES OF DISTRIBUTION AND APPROXIMATE EVALUATION OF CERTAIN FUNCTIONS
• On irregularities of distribution
• Some applications of multidimensional integration by parts
• On irregularities of distribution

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