The B-spline basis in a space of algebraic polynomials

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1987 English Publisher:Springer Science and Business Media LLCJournal:Ukrainian Mathematical Journal, volume 38, pages 311-315 (issn: 0041-5995, eissn: 1573-9376,

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Authors: Tsesel'skij, Z.;

doi: 10.1007/bf01056830

The B-spline basis in a space of algebraic polynomials

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Abstract

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)].

Keywords

Spline approximation, extremal knots

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