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Coefficient Bounds in the Lorentz Representation of a Polynomial

Published online by Cambridge University Press:  20 November 2018

D. S. Lubinsky  and
Z. Ziegler
D. S. Lubinsky
Affiliation:
Department of Mathematics, Witwatersrand University, P.O. WITS 2050, Republic of South Africa
Z. Ziegler
Affiliation:
Department of Mathematics, Technion - Israel Institute of Technology, Haifa 32000, Israel
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Abstract

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Each polynomial P(x) has a "Lorentz representation", of the form This representation becomes unique if we insist that n equals the degree of P. Motivated partly by questions involving polynomials with integer coefficients, we investigate the relationship between

Keywords

26C0541A17PolynomialsCoefficient BoundsLorentz RepresentationMaximum principleChebyshev Polynomials
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 2 , 01 June 1990 , pp. 197 - 206
Copyright
Copyright © Canadian Mathematical Society 1990

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