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Integration and \(L_ 2\)-approximation: Average case setting with isotropic Wiener measure for smooth functions - MaRDI portal

Integration and \(L_ 2\)-approximation: Average case setting with isotropic Wiener measure for smooth functions (Q1360214)

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scientific article; zbMATH DE number 1036059
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Integration and \(L_ 2\)-approximation: Average case setting with isotropic Wiener measure for smooth functions
scientific article; zbMATH DE number 1036059

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    Integration and \(L_ 2\)-approximation: Average case setting with isotropic Wiener measure for smooth functions (English)
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    28 September 1997
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    The authors give the construction of the isotropic measures on classes of smooth functions, analyze the corresponding reproducing kernel Hilbert space, and obtain average error bounds.
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    multivariate functions
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    isotropic Wiener measure
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    minimal average error
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