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This article is cited in 3 scientific papers (total in 3 papers)
Polynomials with Critical Values on Intervals
V. N. Dubinin Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Abstract:
For polynomials $P(z)$ with real coefficients having a fixed leading coefficient and satisfying the conditions $P(z)\in[-1,1]$ for $z\in[-1,1]$ and $P(z)\in[-1,1]$ if $P'(z)=0$, we obtain new covering theorems, a Bernshtein-type inequality, and inequalities for the coefficients. The proofs are based on the use of univalent conformal mappings.
Received: 25.02.2005
Citation:
V. N. Dubinin, “Polynomials with Critical Values on Intervals”, Mat. Zametki, 78:6 (2005), 827–832; Math. Notes, 78:6 (2005), 768–772
Linking options:
https://www.mathnet.ru/eng/mzm2653https://doi.org/10.4213/mzm2653 https://www.mathnet.ru/eng/mzm/v78/i6/p827
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Abstract page: | 389 | Full-text PDF : | 201 | References: | 44 | First page: | 3 |
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