Explicit calculation of some polynomials introduced by W. Gautschi

Zeitschrift für Analysis und ihre Anwendungen

Volumn 17, Issue 4, 1998, Pages 963-977

  Fischer, H J ^a  

^a CHEMNITZ UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Chebyshev and Jacobi weights; Modified moments; Numerical condition; Orthogonal polynomials

Indexed keywords

EID: 22444456221     PISSN: 02322064     EISSN: None     Source Type: Journal    
DOI: 10.4171/ZAA/861     Document Type: Article

References (11)

1. Abramowitz, M. and I. Stegun (Eds.): Pocketbook of Mathematical Functions. Thun - Frankfurt/Main: Verlag Harri Deutsch 1984.
2. Fischer, H.-J.: On the condition of orthogonal polynomials via modified moments. Z. Anal. Anw. 15 (1996), 223-244.
3. Fischer, H.-J.: On generating orthogonal polynomials with respect to discrete measures. Z. Anal. Anw. 17 (1998), 183-205.
4. Gautschi, W.: Questions of numerical condition related to polynomials. In: Recent Advances in Numerical Analysis (eds.: C. de Boor and G. H. Golub). New York: Academic Press 1978, pp. 45-72.
5. Gautschi, W.: On generating orthogonal polynomials. SIAM J. Sci. and Stat. Comp. 3 (1982), 289-317.
6. Gautschi, W.: On the sensitivity of orthogonal polynomials to perturbations in the moments. Num. Math. 48 (1986), 369-382.
7. Gautschi, W.: On mean convergence of extended Lagrange interpolation. J. Comput. Appl. Math. 43 (1992), 19-35.
8. Gautschi, W.: Orthogonal polynomials: applications and computations. In: Acta Numerica 1996 (ed.: A. Iserles). Cambridge: Univ. Press 1986, pp. 45-119.
9. Gautschi, W.: On mean convergence of extended Lagrange interpolation. J. Comput. Appl. Math. 43 (1992), 19-35.
10. Mason, J. C. and G. H. Elliott: Near-minimax complex approximation by four kinds of Chebyshev polynomial expansions. J. Comput. Appl. Math. 46 (1993), 291-300.
11. Mason, J. C.: Chebyshev polynomials of second, third and fourth kinds. J. Comput. Appl. Math. 49 (1993), 169-178.