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Local behaviour of the first derivative of a deficient cubic spline interpolator - MaRDI portal

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Local behaviour of the first derivative of a deficient cubic spline interpolator (Q1917777)

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scientific article; zbMATH DE number 903374
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English
Local behaviour of the first derivative of a deficient cubic spline interpolator
scientific article; zbMATH DE number 903374

    Statements

    Local behaviour of the first derivative of a deficient cubic spline interpolator (English)
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    28 April 1997
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    Let \(f\in C^4\) and let \(s\) be its deficient cubic spline interpolation. Let \(s\) match \(f\) and its derivative \(s'\) match the derivative \(f'\) at midpoints between the successive mesh points. The author has studied here the asymptotically precise estimate for \(s'-f'\).
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    midpoint interpolation
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    spline transformation
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    deficient cubic spline
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