References
Achieser, N. I.: Theory of Approximation, p. 53. New York: Ungar Publishing Co. 1956.
Cheney, E. W., andA. A. Goldstein: Newton's Method for Convex Programming and Tchebycheff Approximation. Numerische Mathematik1, 253–268 (1959).
Walsh, J. L.: Interpolation and Approximation, p. 351, Theorem 3. American Math. Soc., New York, 1935.
Cheney, E. W., andH. L. Loeb: On Rational Chebyshev Approximation. Num. Math.4, 124–127 (1962).
Edward Stiefel, L.: Numerical Methods of Tchebycheff Approximation, pp. 217–232 in R. E. Langer (ed.), On Numerical Approximation. Madison, Wisconsin, 1959.
Rice, J. R.: Tchebycheff Approximation in a Compact Metric Space. Bull. A. M. S.68 (4), 405 (July, 1962).
Descloux, J.: Contribution un calcul des approximations de Tschebicheff, thèse presentée a l'Ecole Polytechnique Federale de Zurich, 1961.
Lawson, C. L.: Contributions to the Theory of Linear Least Maximum Approximation. Thesis, U.C.L.A. Los Angeles, 1961.
Descloux, J.: Approximations inL p and Tchebycheff Approximations, Report No. 117, Univ. of Ill. Digital Computer Lab., 1962.
Cheney, W., andP. C. Curtis: Convex Bodies. Bull. A.M.S.68 (4), 305 (July, 1962).
Eggelston, H. C.: Convexity, p. 20. Cambridge: Cambridge University Press 1958.
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Goldstein, A.A. On the stability of rational approximation. Numer. Math. 5, 431–438 (1963). https://doi.org/10.1007/BF01385907
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DOI: https://doi.org/10.1007/BF01385907