On the stability of rational approximation

Author:

Goldstein A. A.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference11 articles.

1. Achieser, N. I.: Theory of Approximation, p. 53. New York: Ungar Publishing Co. 1956.

2. Cheney, E. W., andA. A. Goldstein: Newton's Method for Convex Programming and Tchebycheff Approximation. Numerische Mathematik1, 253?268 (1959).

3. Walsh, J. L.: Interpolation and Approximation, p. 351, Theorem 3. American Math. Soc., New York, 1935.

4. Cheney, E. W., andH. L. Loeb: On Rational Chebyshev Approximation. Num. Math.4, 124?127 (1962).

5. Edward Stiefel, L.: Numerical Methods of Tchebycheff Approximation, pp. 217?232 in R. E. Langer (ed.), On Numerical Approximation. Madison, Wisconsin, 1959.

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2. Existence of transformed rational complex Chebyshev approximations, II;Journal of Approximation Theory;1983-08

3. Regulated extensions in rational Chebyshev approximation;Journal of Approximation Theory;1975-05

4. On the existence of best rational approximation using a generalized weight function;Journal of Approximation Theory;1973-11

5. Diskretisierung bei Tschebyscheff-Approximation mit Verallgemeinerten Rationalen Funktionen;Numerische Mathematik Differentialgleichungen Approximationstheorie;1968

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