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• W3145120643 abstract "We consider multivariate integration in the weighted spaces of functions with mixed first derivatives bounded in Lp norms and the weighted coefficients introduced via £q norms, where p,g £ [l,oo]. The integration domain may be bounded or unbounded. The worst-case error and randomized error are investigated for quasi-Monte Carlo quadrature rules. For the worst-case setting the quadrature rule uses deterministic ((Tu),s)-sequences in base 6, and for the randomized setting the quadrature rule uses randomly scrambled digital ((Tu), m, s)-nets in base b. Sufficient conditions are found under which multivariate integration is strongly tractable in the worst-case and randomized settings, respectively. Similar results hold for the Banach spaces of finite-order weights. Results presented in this article extend and improve upon those found previously. Key words, weighted integration, quasi-Monte Carlo quadrature, strong tractability AMS subject classifications. 65D32, 65C05 DOI. 10.1137/040621776" @default.
• W3145120643 created "2021-04-13" @default.
• W3145120643 creator A5018612967 @default.
• W3145120643 date "2016-01-01" @default.
• W3145120643 modified "2023-09-27" @default.
• W3145120643 title "STRONG TRACTABILITY OF QUASI-MONTE CARLO QUADRATURE USING NETS FOR CERTAIN BANACH SPACES*" @default.
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• W3145120643 hasPublicationYear "2016" @default.
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