On Lagrange interpolation with equidistant nodes

A quantitative version of a classical result of S.N. Bernstein concerning the divergence of Lagrange interpolation polynomials based on equidistant nodes is presented. The proof is motivated by the results of numerical computations.

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Bibliographische Detailangaben
Veröffentlicht in:	Bulletin of the Australian Mathematical Society 1990-08, Vol.42 (1), p.81-89
Hauptverfasser:	Byrne, Graeme J., Mills, T.M., Smith, Simon J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical approximation Sciences and techniques of general use
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	A quantitative version of a classical result of S.N. Bernstein concerning the divergence of Lagrange interpolation polynomials based on equidistant nodes is presented. The proof is motivated by the results of numerical computations.
ISSN:	0004-9727 1755-1633
DOI:	10.1017/S0004972700028161