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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Proof of a polynomial conjecture


Author: G. K. Kristiansen
Journal: Proc. Amer. Math. Soc. 44 (1974), 58-60
MSC: Primary 26A75; Secondary 42A04
DOI: https://doi.org/10.1090/S0002-9939-1974-0340516-4
Erratum: Proc. Amer. Math. Soc. 58 (1976), 377.
MathSciNet review: 0340516
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Abstract: Let a real polynomial have only real roots, all belonging to an interval $ I$. An inequality is proved, relating the average value of the polynomial between two consecutive roots to its maximal absolute value in $ I$.


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DOI: https://doi.org/10.1090/S0002-9939-1974-0340516-4
Article copyright: © Copyright 1974 American Mathematical Society