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A simple rational spline and its application to monotonic interpolation to monotonic data - MaRDI portal

A simple rational spline and its application to monotonic interpolation to monotonic data (Q1095564)

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scientific article; zbMATH DE number 4028712
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A simple rational spline and its application to monotonic interpolation to monotonic data
scientific article; zbMATH DE number 4028712

    Statements

    A simple rational spline and its application to monotonic interpolation to monotonic data (English)
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    1986
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    The authors first introduce a class of simple rational splines which have analogous properties to those of polynomial B-splines. They consider an application of the above ones to twice continuously differentiable monotonic interpolation for given monotonic data. They remark that the monotonic quadratic spline interpolation method by \textit{E. Passow} [J. Approx. Theory 19, 143-147 (1977; Zbl 0361.41005)] coincides with their method under a certain extreme case.
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    rational splines
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    polynomial B-splines
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    monotonic interpolation
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    monotonic data
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    monotonic quadratic spline interpolation method
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