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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the zeros of polynomials of minimal $ L\sb p$-norm


Authors: András Kroó and Franz Peherstorfer
Journal: Proc. Amer. Math. Soc. 101 (1987), 652-656
MSC: Primary 41A50; Secondary 41A10
MathSciNet review: 911027
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Abstract: It is shown in this note that the zeros of the minimal polynomials in the $ {L_p}$-norm interlace with those of the Chebyshev polynomials of the first and second kinds.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1987-0911027-9
PII: S 0002-9939(1987)0911027-9
Keywords: Minimal polynomials, $ {L_p}$-norm, interlacing property of zeros
Article copyright: © Copyright 1987 American Mathematical Society