Abstract
Best uniform approximation by generalized spline spaces was studied by Nürnberger, Schumaker, Sommer, and Strauß [5]. In this paper we describe a Remez type algorithm for computing best spline approximations. Although some of the proofs are quite different we are able to prove results similar to the convergence of the Remez algorithm for polynomial spline functions by Nürnberger and Sommer [8].
Zusammenfassung
Gleichmäßig beste Approximation mit verallgemeinerten Splineräumen wurde von Nürnberger, Schumaker, Sommer und Strauß [5] untersucht. Wir geben in dieser Arbeit einen Remez-Algorithmus zur Berechnung bester Approximationen an. Obwohl sich einige Beweise sehr wesentlich unterscheiden, erhalten wir vergleichbare Resultate zu dem Remez-Algorithmus für polynomiale Splineräume von Nürnberger und Sommer [8].
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Freyburger, K. A remez type algorithm for generalized spline spaces. Computing 52, 65–87 (1994). https://doi.org/10.1007/BF02243397
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DOI: https://doi.org/10.1007/BF02243397