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Rational chebyshev approximation by Remes' algorithms

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References

  1. Achieser, N. I.: Theory of Approximation (translated byC. J. Hyman). New York: Frederick Ungar Publ. Co. 1956.

    MATH  Google Scholar 

  2. Fraser, W., andJ. F. Hart: On the Computation of Rational Approximations to Continuous Functions. Comm. ACM5, 401–403 (1962).

    Article  MATH  Google Scholar 

  3. Novodvorskii, E. N., andI. S. Pinsker: On a Process of Equalization of Maxima. Uspehi Mat. Nauk.6, 174–181 (1951) (translation byA. Shenitzer available from New York University library).

    MathSciNet  Google Scholar 

  4. Remes, E.: Sur le Calcul Effectif des Polynomes d'Approximation de Tchebichef. C. R. Acad. Sci. Paris96, 337–340 (1934).

    MATH  Google Scholar 

  5. Rice, J. R.: The Characterization of Best Nonlinear Approximations. Trans. Amer. Math. Soc.96, 322–340 (1960).

    Article  MathSciNet  MATH  Google Scholar 

  6. —: The Approximation of Functions, vol. 1. Reading, Mass.: Addison-Wesley 1964.

    MATH  Google Scholar 

  7. Stoer, J.: A Direct Method for Chebyshev Approximation by Rational Functions. J. Assoc. Comput. Mach.11, 59–69 (1964).

    Article  MathSciNet  MATH  Google Scholar 

  8. Tornheim, L.: Onn-parameter Families of Functions and Associated Convex Functions. Trans. Amer. Math. Soc.69, 457–467 (1950).

    MathSciNet  MATH  Google Scholar 

  9. Werner, H.: Tschebyscheff-Approximationen im Bereich der rationalen Funktionen bei Vorliegen einer guten Ausgangsnäherung. Arch. Rat. Mech. Anal.10, 205–219 (1962).

    Article  MATH  Google Scholar 

  10. —: Die konstruktive Ermittlung der Tschebyscheff-Approximierenden im Bereich der rationalen Funktionen. Arch. Rat. Mech. Anal.11, 368–384 (1962).

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Mathematics Department Stevens Institute of Technology, Castle Point Station, 07030, Hoboken, New Jersey, USA

    Anthony Ralston

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  1. Anthony Ralston
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This research was supported by the National Science Foundation under Grants GP-93 and GP-3141.

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Ralston, A. Rational chebyshev approximation by Remes' algorithms. Numer. Math. 7, 322–330 (1965). https://doi.org/10.1007/BF01436526

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