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.
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