On best multivariate trigonometric approximations (Q1376006)

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scientific article; zbMATH DE number 1106682
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English
On best multivariate trigonometric approximations
scientific article; zbMATH DE number 1106682

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    On best multivariate trigonometric approximations (English)
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    21 January 1998
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    The author proves two theorems. These theorems present a new characterization of the smoothness properties of functions for the -- so-called -- best hyperbolic cross approximation. This characterization is given in terms of higher-order mixed differences of their higher-order mixed integrals.
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    trigonometric approximation
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    several variables
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    smoothness
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    best hyperbolic cross approximation
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