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On the degree of approximation by extended Hermite-Fejér operators

✍ Scribed by S Eisenberg; B Wood

Publisher: Elsevier Science
Year: 1976
Tongue: English
Weight: 194 KB
Volume: 18
Category: Article
ISSN: 0021-9045
DOI: 10.1016/0021-9045(76)90104-0

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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