Dual mean value problem for complex polynomials

Vladimir Dubinin; Toshiyuki Sugawa

doi:10.3792/pjaa.85.135

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Home > Journals > Proc. Japan Acad. Ser. A Math. Sci. > Volume 85 > Issue 9 > Article

November 2009 Dual mean value problem for complex polynomials

Vladimir Dubinin, Toshiyuki Sugawa

Proc. Japan Acad. Ser. A Math. Sci. 85(9): 135-137 (November 2009). DOI: 10.3792/pjaa.85.135

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Abstract

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

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Vladimir Dubinin. Toshiyuki Sugawa. "Dual mean value problem for complex polynomials." Proc. Japan Acad. Ser. A Math. Sci. 85 (9) 135 - 137, November 2009. https://doi.org/10.3792/pjaa.85.135

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Published: November 2009

First available in Project Euclid: 5 November 2009

zbMATH: 1208.30005

MathSciNet: MR2573962

Digital Object Identifier: 10.3792/pjaa.85.135

Subjects:

Primary: 30C10

Secondary: 30C55

Keywords: critical point , Smale's mean value conjecture

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Proc. Japan Acad. Ser. A Math. Sci.

Vol.85 • No. 9 • November 2009

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Vladimir Dubinin, Toshiyuki Sugawa "Dual mean value problem for complex polynomials," Proceedings of the Japan Academy, Series A, Mathematical Sciences, Proc. Japan Acad. Ser. A Math. Sci. 85(9), 135-137, (November 2009)

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