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.
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Dedicated affectionately to Walter Gautschi on his 65th birthday
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© 1994 Birkhäuser
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Rivlin, T.J. (1994). Some Properties of Polynomials Bounded at Equally Spaced Points. In: Zahar, R.V.M. (eds) Approximation and Computation: A Festschrift in Honor of Walter Gautschi. ISNM International Series of Numerical Mathematics, vol 119. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4684-7415-2_35
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DOI: https://doi.org/10.1007/978-1-4684-7415-2_35
Publisher Name: Birkhäuser, Boston, MA
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