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On the numerical determination of the best approximations in the Chebyshev sense. (English) Zbl 0090.33702

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[1] Achieser, N. I.: Vorlesungen über Approximationstheorie. Berlin: Akademie-Verlag 1953. · Zbl 0052.29002
[2] Hastings, C.: Approximations for Digital Computers. Princeton: University Press 1955. · Zbl 0066.10704
[3] Selfridge, R. G.: Approximation with Least Maximum Error. Pacific J. Math.3, No. 1, 247-255 (1953). · Zbl 0050.06903
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[5] Remes, E.: Sur le calcul effecitif des polynomes d’approximation deTchebycheff. C. R. Acad. Sci. Paris199, 337-340 (1934). · JFM 60.0212.01
[6] Barth, W.: Ein Iterationsverfahren zur Approximation durch Polynome. Z. angew. Math. u. Mech.38, 258-260 (1958). · Zbl 0094.31602 · doi:10.1002/zamm.19580380705
[7] Novodvorskiì, E. P., andI. S. Pinsker: Process of Equating Maxima. [Russian.] Uspehi Mat. Nauk6, No. 6, 174-181 (1951).
[8] Murnaghan, F. D., andJ. W. Wrench. The Approximation of Differentiable Functions by Polynomials. David Taylor Model Basin Report 1175, April 1958. · Zbl 0112.08002
[9] Murnaghan, F. D., andJ. W. Wrench: The Determination of the Chebyshev Approximating Polynomial for a Differentiable Function. Math. Tables and Other Aids to Computation13, No. 67, 185-193 (July 1959). · Zbl 0112.08002 · doi:10.2307/2002711
[10] Stiefel, E. L.: Numerical Methods of Tchebycheff Approximation. In the collection ?On Numerical Approximation? edit. byR. E. Langer, pp. 217 to 232. Madison 1959.
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