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BIT Numerical Mathematics

, Volume 1, Issue 4, pp 256–262 | Cite as

Rational chebyshev approximations of elementary functions

  • Carl-Erik Fröberg
Article

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.

Keywords

Computational Mathematic Elementary Function Practical Computation Chebyshev Approximation Rational Chebyshev Approximation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    Fröberg, NordSAM 1959, pp. 223–228.Google Scholar
  2. [2]
    H. Werner and R. Collinge, Math. of Comp. Vol. 15, No , pp. 195–197.Google Scholar
  3. [3]
    H., Monthly Progress Report. Institute for Advanced Study, Princeton, Oct. 1958.Google Scholar
  4. [4]
    H., First Interim Progress Report on Rational Approximations, Project NR 044-196, Princeton University, June 26, 1958.Google Scholar
  5. [5]
    Generation of Elementary Functions. (Part I of Ralaton-Wilf, Math. Methods for Digital Computers).Google Scholar

Copyright information

© BIT Foundations 1961

Authors and Affiliations

  • Carl-Erik Fröberg
    • 1
  1. 1.University of LundSweden

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