Dual mean value problem for complex polynomials

Vladimir Dubinin; Toshiyuki Sugawa

doi:10.3792/pjaa.85.135

Dual mean value problem for complex polynomials

Vladimir Dubinin, Toshiyuki Sugawa

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We consider an extremal problem for polynomials, which is dual to the wellknown Smale mean value problem. We give a rough estimate depending only on the degree.

Original language	English
Pages (from-to)	135-137
Number of pages	3
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	85
Issue number	9
DOIs	https://doi.org/10.3792/pjaa.85.135
Publication status	Published - 2009 Nov
Externally published	Yes

Keywords

Critical point
Smale's mean value conjecture

ASJC Scopus subject areas

Mathematics(all)

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10.3792/pjaa.85.135

Cite this

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title = "Dual mean value problem for complex polynomials",

abstract = "We consider an extremal problem for polynomials, which is dual to the wellknown Smale mean value problem. We give a rough estimate depending only on the degree.",

keywords = "Critical point, Smale's mean value conjecture",

author = "Vladimir Dubinin and Toshiyuki Sugawa",

year = "2009",

month = nov,

doi = "10.3792/pjaa.85.135",

language = "English",

volume = "85",

pages = "135--137",

journal = "Proceedings of the Japan Academy Series A: Mathematical Sciences",

issn = "0386-2194",

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T1 - Dual mean value problem for complex polynomials

AU - Dubinin, Vladimir

AU - Sugawa, Toshiyuki

PY - 2009/11

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AB - We consider an extremal problem for polynomials, which is dual to the wellknown Smale mean value problem. We give a rough estimate depending only on the degree.

KW - Critical point

KW - Smale's mean value conjecture

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JO - Proceedings of the Japan Academy Series A: Mathematical Sciences

JF - Proceedings of the Japan Academy Series A: Mathematical Sciences

SN - 0386-2194

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Dual mean value problem for complex polynomials

Abstract

Keywords

ASJC Scopus subject areas

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