Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

Approximations with rational polynomials


Authors: Ladis D. Kovach and Ronald V. Larson
Journal: Quart. Appl. Math. 25 (1968), 463-467
MSC: Primary 65.20
DOI: https://doi.org/10.1090/qam/226819
MathSciNet review: 226819
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Abstract: One of the cornerstones of mathematical analysis is the use of Maclaurin's series for the representation of transcendental functions. The advent of the electronic computer, however, has caused attention to be focussed on truncated, series. A number of techniques have been developed with the object of finding the ``best'' approximation to a transcendental function. The present paper describes a new technique by means of which such functions can be represented with a minimum number of terms.


References [Enhancements On Off] (What's this?)

  • [1] C. Lanczos, Applied analysis, Prentice-Hall, Englewood Cliffs, N. J., 1956 MR 0084175
  • [2] L. D. Kovach and W. Comley, A unique approach to the approximation of trigonometric functions, Amer. Math. Monthly (68) 9, 839-846 (1961) MR 0134454
  • [3] F. B. Hildebrand, Introduction to numerical analysis, McGraw-Hill, New York, 1956 MR 0075670
  • [4] C. Hastings, Jr., Approximations for digital computers, Princeton University Press, Princeton, N. J., 1955 MR 0068915
  • [5] C. W. Clenshaw, Chebyshev series for mathematical functions, Math. Tables No. 5 N.P.L., London HMSO, 1962

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DOI: https://doi.org/10.1090/qam/226819
Article copyright: © Copyright 1968 American Mathematical Society

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