zbMATH — the first resource for mathematics

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

Full Text: DOI EuDML
[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
[4] Motzkin, Th.: Approximation by Curves of a Unisolvent Family. Bull. Amer. Math. Soc.55, 789-793 (1949). · Zbl 0034.33302 · doi:10.1090/S0002-9904-1949-09286-8
[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.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.