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Proceedings of the American Mathematical Society

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

 

 

Crinkled functions and intersections with polynomials


Author: A. M. Fink
Journal: Proc. Amer. Math. Soc. 118 (1993), 797-799
MSC: Primary 26A15; Secondary 26A24, 26C05, 26D10
MathSciNet review: 1132411
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Abstract: We prove that if $ \vert\vert{f^{(n + 1)}}\vert\vert$ is large and $ \vert\vert{f^{(n)}}\vert{\vert _\infty }$ is bounded, then there is a polynomial $ p$ of degree $ n$ such that $ f(t) = p(t)$ has many solutions.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1132411-X
Keywords: Inequalities
Article copyright: © Copyright 1993 American Mathematical Society