Asymptotic properties of Chebyshev splines with fixed number of knots (Q341717)

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scientific article; zbMATH DE number 6653730
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Asymptotic properties of Chebyshev splines with fixed number of knots
scientific article; zbMATH DE number 6653730

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    Asymptotic properties of Chebyshev splines with fixed number of knots (English)
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    17 November 2016
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    In this article, splines are considered with their degrees \(r\) going to infinity. Concretely, Chebyshev splines are used with a fixed number \(n\) of knots within the unit interval. Their asymptotic behaviour for \(r\to\infty\) (that is, the asymptotics of the splines and their knots) is analysed in particular detail.
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    Chebyshev splines
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    Kolmogorov widths
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    perfect splines
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