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math.CV2018
Dimitrov's question for the polynomials of degree 1,2,3,4,5,6
Dmitriy Dmitrishin, Ivan Skrinnik, Andrey Smorodin +1
In 2002 Dimitar Dimitrov posted the problem of finding the optimal polynomials that provide the sharpness of Koebe Quarter Theorem for polynomials and asked whether Suffridge polyn…
math.CV2018
Estimating the Koebe radius for polynomials
Dmitriy Dmitrishin, Andrey Smorodin, Alex Stokolos
For a pair of conjugate trigonometrical polynomials with real coefficients and normaliza…
math.DS2018
Fejer Polynomials and Control of Nonlinear Discrete Systems
Dmitriy Dmitrishin, Paul Hagelstein, Anna Khamitova +2
We consider optimization problems associated to a delayed feedback control (DFC) mechanism for stabilizing cycles of one dimensional discrete time systems. In particular, we consid…