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Positive interpolation with rational splines - MaRDI portal

Positive interpolation with rational splines (Q1122925)

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scientific article; zbMATH DE number 4107999
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Positive interpolation with rational splines
scientific article; zbMATH DE number 4107999

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    Positive interpolation with rational splines (English)
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    1989
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    The second author and \textit{W. Hess} [Positive interpolation with rational quadratic splines, Computing 38, 261-267 (1987)] have given a necessary and sufficient condition according to which the property of positivity carries from the data set to rational quadratic spline interpolants of a special form. In the present paper positive rational splines of continuity class \(C^ 2\) are constructed by a method situated between a cubic spline method and a piecewise linear one. The Schmidt-Hess method appears as a limiting case.
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    rational quadratic spline interpolants
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    positive rational splines
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    cubic spline method
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    piecewise linear
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