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Proceedings of the American Mathematical Society

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The first sign change of a cosine polynomial


Authors: James D. Nulton and Kenneth B. Stolarsky
Journal: Proc. Amer. Math. Soc. 84 (1982), 55-59
MSC: Primary 42A05; Secondary 33A10
DOI: https://doi.org/10.1090/S0002-9939-1982-0633277-7
MathSciNet review: 633277
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Abstract: It is reasonable to expect the first sign change of a real cosine polynomial to decrease when its smallest frequency is increased. Many cases in which this is true are exhibited, but it is shown that there exist (presumably unusual) cosine polynomials for which the first sign change may increase by an arbitrarily large amount.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1982-0633277-7
Keywords: Cosine polynomial, exponential polynomial, frequencies, sign changes, zeros
Article copyright: © Copyright 1982 American Mathematical Society