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), Vol. 259:2
- Country of Publication:
- United States
- Language:
- English
Similar Records
CGRO/BATSE data support the new paradigm for GRB prompt emission and the new L{sub i}{sup nTh}–E{sub peak,i}{sup nTh,rest} relation
Nonnegativity-, monotonicity-, or convexity-preserving cubic and quintic hermite interpolation
Polynomial interpolation of operators in Hilbert spaces
Journal Article
·
Tue Mar 01 00:00:00 EST 2016
· Astrophysical Journal
·
OSTI ID:6645633
+2 more
Nonnegativity-, monotonicity-, or convexity-preserving cubic and quintic hermite interpolation
Journal Article
·
Sat Apr 01 00:00:00 EST 1989
· Math. Comput.; (United States)
·
OSTI ID:6645633
Polynomial interpolation of operators in Hilbert spaces
Journal Article
·
Sun Dec 10 00:00:00 EST 1995
· Journal of Mathematical Sciences
·
OSTI ID:6645633