Koksma-Hlawka type inequalities of fractional order

DOI10.1007/s10231-007-0048-zzbMath1223.11095OpenAlexW2023283721MaRDI QIDQ931323

Josef Dick

Publication date: 25 June 2008

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-007-0048-z

zbMATH Keywords

Sobolev spacefractional calculusreproducing kernelfractional integralfractional orderKoksma-Hlawka inequalityquasi-Monte Carlofractional derivatenumeral integration

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Numerical integration (65D30) Irregularities of distribution, discrepancy (11K38)

Related Items (4)

Entropy, Randomization, Derandomization, and Discrepancy ⋮ A characterization of Sobolev spaces on the sphere and an extension of Stolarsky's invariance principle to arbitrary smoothness ⋮ Low-discrepancy sequences for piecewise smooth functions on the two-dimensional torus ⋮ Bivariate functions of bounded variation: fractal dimension and fractional integral

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