Hermite-Birkhoff interpolation in the nth roots of unity
Journal Article
·
· Trans. Am. Math. Soc.; (United States)
Consider, as nodes for polynomial interpolation, the nth roots of unity. For a sufficiently smooth function f(z), we require a polynomial p(z) to interpolate f and certain of its derivatives at each node. It is shown that the so-called Polya conditions, which are necessary for unique interpolation, are in this setting also sufficient.
- Research Organization:
- Kent State Univ., OH
- OSTI ID:
- 6645633
- Journal Information:
- Trans. Am. Math. Soc.; (United States), Journal Name: Trans. Am. Math. Soc.; (United States) Vol. 259:2; ISSN TAMTA
- Country of Publication:
- United States
- Language:
- English
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