Dual mean value problem for complex polynomials

2009/06/25 by Vladimir Dubinin, Toshiyuki Sugawa, Dubinin, Vladimir +1 · 1 citation
Mathematics · #30C10 #Complex Variables (math.CV) #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Mathematics and Applications #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.0906.4605

openalex publication_date 2009/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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• Dual Smale's mean value conjecture for odd polynomials

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