Kergin interpolants at the roots of unity approximate C2 functions

Journal d'Analyse Mathematique

Volumn 72, Issue , 1997, Pages 203-221

  Bos, Len ^a   Calvi, Jean Paul ^b  

^a UNIVERSITY OF CALGARY   (Canada)

^b INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012955541     PISSN: 00217670     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02843159     Document Type: Article

References (10)

1. L. Bos, On Kergin interpolation in the disk, J. Approx. Theory 37 (1982), 251-261.
2. T. Bloom and J. P. Calvi, The distribution of good points for Kergin interpolation, to appear.
3. L. Brutman, On the polynomial and rational projections in the complex plane, SIAM J. Numer. Anal. 17 (1980), 363-372.
4. C. de Boor, Polynomial Interpolation, Proceedings of the International Congress of Mathematicians at Helsinki (1978), Academia Scientarium Fennica, Helsinki, 1980, pp. 917-922.
5. A. O. Gelfond, Calcul des différences finies, Dunod, Paris, 1963.
6. k functions, J. Approx. Theory 29 (1980), 278-293.
7. n, Rocky Mountain J. Math. 10 (1980), 485-497.
8. k, J. Approx. Theory 29 (1980), 294-296.
9. T. J. Rivlin, The Chebyshev Polynomials, Wiley-Interscience, New York, 1974.
10. D. L. Ragozin, Constructive polynomial approximation on spheres and projective spaces, Trans. Amer. Math. Soc. 162 (1971), 157-170.