Crinkled functions and intersections with polynomials
HTML articles powered by AMS MathViewer
- by A. M. Fink PDF
- Proc. Amer. Math. Soc. 118 (1993), 797-799 Request permission
Abstract:
We prove that if $||{f^{(n + 1)}}||$ is large and $||{f^{(n)}}|{|_\infty }$ is bounded, then there is a polynomial $p$ of degree $n$ such that $f(t) = p(t)$ has many solutions.References
-
I. P. Natanson, Konstructive funktionentheorie, Berlin, 1955.
- S. Agronsky, A. M. Bruckner, M. Laczkovich, and D. Preiss, Convexity conditions and intersections with smooth functions, Trans. Amer. Math. Soc. 289 (1985), no. 2, 659–677. MR 784008, DOI 10.1090/S0002-9947-1985-0784008-9
Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 797-799
- MSC: Primary 26A15; Secondary 26A24, 26C05, 26D10
- DOI: https://doi.org/10.1090/S0002-9939-1993-1132411-X
- MathSciNet review: 1132411