B-splines with Birkhoff knots (Q5903963)

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scientific article; zbMATH DE number 4101782
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B-splines with Birkhoff knots
scientific article; zbMATH DE number 4101782

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    B-splines with Birkhoff knots (English)
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    1988
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    B-splines with Birkhoff knots are introduced. This natural extension of the Curry-Schoenberg B-splines preserves such critical properties as variation diminishing and total positivity. Using this tool a characterization of the Birkhoff interpolation problem for spline functions is given.
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    B-splines
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    Birkhoff knots
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    Curry-Schoenberg B-splines
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