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Some more general bounds on the residual term of the Lagrange interpolation formula

✍ Scribed by G. P. Golovach

Book ID
105467145
Publisher
Springer US
Year
1994
Tongue
English
Weight
186 KB
Volume
71
Category
Article
ISSN
1573-8795

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✍ Graeme J. Byrne; T.M. Mills; Simon J. Smith πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 131 KB

For f # C [&1, 1], let H m, n ( f, x) denote the (0, 1, ..., m) Hermite Feje r (HF) interpolation polynomial of f based on the Chebyshev nodes. That is, H m, n ( f, x) is the polynomial of least degree which interpolates f (x) and has its first m derivatives vanish at each of the zeros of the nth Ch