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Some Properties of Polynomials Bounded at Equally Spaced Points

  • Theodore J. Rivlin
Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 119)

Abstract

Suppose the absolute value of a real polynomial, p(x), of degree d is bounded by 1 at k equally spaced points of the real line. For pairs (d, k) we present some results about how large are: (i) the absolute value of p(x) for a given real x; (ii) the maximum norm of p(x) on the span of the k points; (iii) the absolute values of the coefficients.

Keywords

Real Line Chebyshev Polynomial Lagrange Interpolation American Math Real Polynomial 
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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Copyright information

© Birkhäuser 1994

Authors and Affiliations

  • Theodore J. Rivlin
    • 1
  1. 1.T.J. Watson Research CenterIBM ResearchYorktown HeightsUSA

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