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Expansions for the Fundamental Hermite Interpolation Polynomials in Terms of Chebyshev Polynomials

✍ Scribed by M. M. Rizk

Book ID
110291576
Publisher
Springer
Year
2001
Tongue
English
Weight
133 KB
Volume
53
Category
Article
ISSN
0041-5995

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On the Positivity of the Fundamental Pol
On the Positivity of the Fundamental Polynomials for Generalized Hermite–FejΓ©r Interpolation on the Chebyshev Nodes
✍ Simon J. Smith πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 90 KB

It is shown that the fundamental polynomials for (0, 1, ..., 2m+1) Hermite Feje r interpolation on the zeros of the Chebyshev polynomials of the first kind are nonnegative for &1 x 1, thereby generalising a well-known property of the original Hermite Feje r interpolation method. As an application of