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On the numerical determination of the best approximations in the Chebyshev sense

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References

  1. Achieser, N. I.: Vorlesungen über Approximationstheorie. Berlin: Akademie-Verlag 1953.

    Google Scholar 

  2. Hastings, C.: Approximations for Digital Computers. Princeton: University Press 1955.

    Google Scholar 

  3. Selfridge, R. G.: Approximation with Least Maximum Error. Pacific J. Math.3, No. 1, 247–255 (1953).

    Google Scholar 

  4. Motzkin, Th.: Approximation by Curves of a Unisolvent Family. Bull. Amer. Math. Soc.55, 789–793 (1949).

    Google Scholar 

  5. Remes, E.: Sur le calcul effecitif des polynomes d'approximation deTchebycheff. C. R. Acad. Sci. Paris199, 337–340 (1934).

    Google Scholar 

  6. Barth, W.: Ein Iterationsverfahren zur Approximation durch Polynome. Z. angew. Math. u. Mech.38, 258–260 (1958).

    Google Scholar 

  7. Novodvorskiì, E. P., andI. S. Pinsker: Process of Equating Maxima. [Russian.] Uspehi Mat. Nauk6, No. 6, 174–181 (1951).

    Google Scholar 

  8. Murnaghan, F. D., andJ. W. Wrench. The Approximation of Differentiable Functions by Polynomials. David Taylor Model Basin Report 1175, April 1958.

  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).

    Google Scholar 

  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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  1. Research Group for Cybernetics of the Hungarian Academy of Sciences, Nádor- u. 7, Budapest V

    L. Veidinger

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  1. L. Veidinger
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Veidinger, L. On the numerical determination of the best approximations in the Chebyshev sense. Numer. Math. 2, 99–105 (1960). https://doi.org/10.1007/BF01386215

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