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On the Zero-Divergence of Equidistant Lagrange Interpolation

✍ Scribed by Michael Revers


Publisher
Springer Vienna
Year
2000
Tongue
English
Weight
79 KB
Volume
131
Category
Article
ISSN
0026-9255

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On the Divergence of Lagrange Interpolat
✍ L. Brutman; E. Passow πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 227 KB

It is a classical result of Bernstein that the sequence of Lagrange interpolation polynomials to \(|x|\) at equally spaced nodes in \([-1,1]\) diverges everywhere, except at zero and the end-points. In the present paper we show that the case of equally spaced nodes is not an exceptional one in this