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The complete asymptotic expansion for the degree of approximation of Lipschitz functions by Hermite-Fejér interpolation polynomials

✍ Scribed by S.J Goodenough


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
641 KB
Volume
44
Category
Article
ISSN
0021-9045

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On the Positivity of the Fundamental Pol
✍ Simon J. Smith 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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