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Rational chebyshev approximations of elementary functions

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Abstract

Explicit formulæ which should be useful in practical computations, are given for the functions e−x, log x, Γ(1 + x), arctg x/x, sin x/x, cos x and (2/x) arcsin (x/2) in the interval 0≤x≤1 except for log x, where the interval is 1/2≤x≤1 instead.

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References

  1. Fröberg, NordSAM 1959, pp. 223–228.

  2. H. Werner and R. Collinge, Math. of Comp. Vol. 15, No , pp. 195–197.

  3. H., Monthly Progress Report. Institute for Advanced Study, Princeton, Oct. 1958.

  4. H., First Interim Progress Report on Rational Approximations, Project NR 044-196, Princeton University, June 26, 1958.

  5. Generation of Elementary Functions. (Part I of Ralaton-Wilf, Math. Methods for Digital Computers).

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Authors and Affiliations

  1. University of Lund, Sweden

    Carl-Erik Fröberg

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  1. Carl-Erik Fröberg
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Fröberg, CE. Rational chebyshev approximations of elementary functions. BIT 1, 256–262 (1961). https://doi.org/10.1007/BF01933243

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  • DOI: https://doi.org/10.1007/BF01933243

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