Discrepancy and integration in function spaces with dominating mixed smoothness

DOI10.4064/dm494-0-1zbMath1284.46030arXiv1307.2114OpenAlexW3105867924MaRDI QIDQ5397509

Lev Markhasin

Publication date: 21 February 2014

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.2114

zbMATH Keywords

numerical integrationHaar systemdiscrepancydominating mixed smoothnessHammersley point setsChen-Skriganov point setsquasi-Monto Carlo algorithms

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Irregularities of distribution, discrepancy (11K38) General theory of distribution modulo (1) (11K06)

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