Convergence of Best Rational Tchebycheff Approximations

Barry W. Boehm

ResearchPublished 1964

Some bounds are established for the maximum deviation of an approximating rational function from a given function, in terms of continuity properties of the given function and the degrees of the polynomials comprising the rational function. Estimates of the rapidity of convergence of best rational Tchebycheff approximations are given, along with examples of nonconvergence phenomena and of functions to which convergence is arbitrarily slow. 26 pp.

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  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1964
  • Print Format: Paperback
  • Paperback Pages: 26
  • Paperback Price: $20.00
  • Document Number: R-427/3-PR (Abridgement III)

Citation

RAND Style Manual
Boehm, Barry W., Convergence of Best Rational Tchebycheff Approximations, RAND Corporation, R-427/3-PR (Abridgement III), 1964. As of September 11, 2024: https://www.rand.org/pubs/reports/R427z3.html
Chicago Manual of Style
Boehm, Barry W., Convergence of Best Rational Tchebycheff Approximations. Santa Monica, CA: RAND Corporation, 1964. https://www.rand.org/pubs/reports/R427z3.html. Also available in print form.
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