Abstract
This paper is devoted to the study of monosplines which have a maximum number of zeros.*) Our results extend those of Karlin and Schumaker [6] and Schoenberg [10]. These authors deal with monosplines which have only simple knots. We relax the continuity restriction at the knots and allow monosplines with multiplicities.
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© 1972 Birkhäuser Verlag Basel
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Micchelli, C. (1972). The Fundamental Theorem of Algebra for Monosplines with Multiplicities. In: Butzer, P.L., Kahane, JP., Szökefalvi-Nagy, B. (eds) Linear Operators and Approximation / Lineare Operatoren und Approximation. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 20. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7283-6_36
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DOI: https://doi.org/10.1007/978-3-0348-7283-6_36
Publisher Name: Birkhäuser, Basel
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