Abstract
This paper is devoted exclusively to the problem of regularity of matrices of Birkhoff interpolation. We assume that there is given a system of n times continuously differentiable functions U = {uo,...,un} on (a,b). Let \({\text{E = }}\left( {{\text{e}}_{{\text{ik}}} } \right)_{{\text{i}} = 1}^{\text{m}} ,_{{\text{k = 0}}}^{\text{n}} \) be an incidence matrix of order n, with elements eik equal to zero or one, and precisely n+1 elements one.
supported by the Alenxander von Humboldt-Stiftung and by Grant no. GP-23566 A2 of the National Science Foundation.
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Lorentz, G.G. (1974). The Birkhoff Interpolation Problem: New Methods and Results. In: Butzer, P.L., Szőkefalvi-Nagy, B. (eds) Linear Operators and Approximation II / Lineare Operatoren und Approximation II. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 25. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5991-2_37
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DOI: https://doi.org/10.1007/978-3-0348-5991-2_37
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