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• W2065960076 abstract "This article considers the error of the scrambled equidistribution quadrature rules in the worst-case, random-case, and average-case settings. The underlying space of integrands is a Hilbert space of multidimensional Haar wavelet series, $mathcal {H}_{text {wav}}$. The asymptotic orders of the errors are derived for the case of the scrambled $(lambda ,t,m,s)$-nets and $(t,s)$-sequences. These rules are shown to have the best asymptotic convergence rates for any random quadrature rule for the space of integrands $mathcal {H}_{text {wav}}$." @default.
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• W2065960076 date "2003-04-28" @default.
• W2065960076 modified "2023-09-23" @default.
• W2065960076 title "Optimal quadrature for Haar wavelet spaces" @default.
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• W2065960076 doi "https://doi.org/10.1090/s0025-5718-03-01531-x" @default.
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