期刊
CONSTRUCTIVE APPROXIMATION
卷 49, 期 2, 页码 385-403出版社
SPRINGER
DOI: 10.1007/s00365-018-9428-4
关键词
Approximation of multivariate functions; Monte Carlo methods; Optimal order of convergence; Preasymptotic estimates; Multivariate integration
类别
We construct Monte Carlo methods for the L2-approximation in Hilbert spaces of multivariate functions sampling not more than n function values of the target function. Their errors catch up with the rate of convergence and the preasymptotic behavior of the error of any algorithm sampling n pieces of arbitrary linear information, including function values.
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