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The B-spline basis in a space of algebraic polynomials - MaRDI portal

The B-spline basis in a space of algebraic polynomials (Q1820338)

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scientific article; zbMATH DE number 3994187
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The B-spline basis in a space of algebraic polynomials
scientific article; zbMATH DE number 3994187

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    The B-spline basis in a space of algebraic polynomials (English)
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    1986
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    The main result: For \(1\leq p\leq \infty\) and \(k\geq 1\) we have \(\kappa^{t^*}_{k,p}\leq 2^{k+1}\), where \(t^*\) denotes a sequence of extremal knots [for definitions see e.g. \textit{L. L. Schumaker}, Spline functions: basic theory (1981; Zbl 0449.41004)].
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    extremal knots
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