Lower bounds for the complexity of linear functionals in the randomized setting (Q617652)
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scientific article; zbMATH DE number 5840229
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lower bounds for the complexity of linear functionals in the randomized setting |
scientific article; zbMATH DE number 5840229 |
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Lower bounds for the complexity of linear functionals in the randomized setting (English)
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21 January 2011
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The authors establish the sharpness conditions for the exponent in the approximation estimator from \textit{A.~Hinrichs} [J. Complexity 26, No.~2, 125--134 (2010; Zbl 1191.65003)]. In particular it is proved the sharpness of the exponent ``\dots for tensor product Hilbert spaces whose univariate reproducing kernel is decomposable and univariate integration is not trivial for the two parts of the decomposition.''
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optimal Monte Carlo method
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integration over reproducing kernel Hilbert spaces
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decomposable kernels
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complexity in the randomized settings
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