Asymptotic expansions for multivariate polynomial approximation

Journal of Computational and Applied Mathematics

Volumn 122, Issue 1, 2000, Pages 317-328

  Walz, Guido ^a  

^a UNIVERSITY OF MANNHEIM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; EXTRAPOLATION; FUNCTION EVALUATION; POLYNOMIALS;

ASYMPTOTIC EXPANSIONS; BERNSTEIN POLYNOMIALS;

APPROXIMATION THEORY;

MATHEMATICAL METHOD;

EID: 0034289874     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(00)00358-7     Document Type: Article

References (7)

1. C. Brezinski, M. Redivo Zaglia, Extrapolation Methods, Theory and Practice, North-Holland, Amsterdam, 1992.
2. F. Costabile, M.I. Gualtieri, S. Serra, Asymptotic expansion and extrapolation for Bernstein polynomials with applications, BIT 36 (1996) 676-687.
3. M.-J. Lai, Asymptotic formulae of multivariate Bernstein approximation, J. Approx. Theory 70 (1992) 229-242.
4. G.G. Lorentz, Bernstein Polynomials, University of Toronto Press, Toronto, 1953.
5. G. Meinardus, G. Merz, Praktische Mathematik II, Bibl. Institut, Mannheim, 1982.
6. E. Voronowskaja, Détermination de la forme asymptotique d'approximation des fonctions par les polynomes de M. Bernstein, C. R. Acad. Sci. URSS (1932) 79-85.
7. G. Walz, Asymptotics and Extrapolation, Akademie Verlag, Berlin, 1996.