Chebyshev approximation of multivariable functions by the exponential expression (Q2044035)

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scientific article; zbMATH DE number 7378081
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Chebyshev approximation of multivariable functions by the exponential expression
scientific article; zbMATH DE number 7378081

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    Chebyshev approximation of multivariable functions by the exponential expression (English)
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    4 August 2021
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    In multivariate functional approximation, Chebyshev methods of approaching this problem are of particular value. In this article, the authors construct approximations by approximating the logarithm of the approximant first, and then taking exponentials. The approximations are carried out by a weighted least-squares (best) approximation and convergence results are offered. There are considerations of particular cases up to three space dimensions.
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    Chebyshev approximation by exponential expression
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    multivariable functions
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    mean-power approximation
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    least squares method
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    variable weight function
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