On critical values of polynomials with real critical points

dc.contributor.author	Hinkkanen A.
dc.contributor.author	Kayumov I.
dc.date.accessioned	2018-09-18T20:06:58Z
dc.date.available	2018-09-18T20:06:58Z
dc.date.issued	2010
dc.identifier.issn	0176-4276
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/136649
dc.description.abstract	Let f be a polynomial of degree at least 2 with f(0)=0 and f′(0)=1. Suppose that all the zeros of f′ are real. We show that there is a zero ζ of f′ such that {pipe} f(ζ)/ζ{pipe} ≤ 2/3, and that this inequality can be taken to be strict unless f is of the form f(z)=z+cz3. © 2009 Springer Science+Business Media, LLC.
dc.relation.ispartofseries	Constructive Approximation
dc.subject	Critical points
dc.subject	Critical values
dc.subject	Polynomials
dc.subject	Smale's conjecture
dc.title	On critical values of polynomials with real critical points
dc.type	Article
dc.relation.ispartofseries-issue	2
dc.relation.ispartofseries-volume	32
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	385
dc.source.id	SCOPUS01764276-2010-32-2-SID77955575328

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Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.