Dual mean value problem for complex polynomials

Dual mean value problem for complex polynomials

Vladimir Dubinin and Toshiyuki Sugawa

Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 85, Number 9 (2009), 135-137.

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.

Primary Subjects: 30C10

Secondary Subjects: 30C55

Keywords: Smale's mean value conjecture; critical point

Full-text: Open access

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Permanent link to this document: http://projecteuclid.org/euclid.pja/1257430681
Digital Object Identifier: doi:10.3792/pjaa.85.135

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