Geodesic
On Extremal Properties of the Derivatives of Polynomials and Rational Functions
Canadian mathematical bulletin, Tome 7 (1964) no. 1, pp. 121-131

Voir la notice de l'article provenant de la source Cambridge University Press

Let p(z) be a polynomial of degree n, i. e. a finite sum of the form where cν are any given numbers and z=x+iy is a complex variable. To answer a question raised by the chemist Mendelieff, A. Markoff [3] proved the following theorem. 
Malik, M.A. On Extremal Properties of the Derivatives of Polynomials and Rational Functions. Canadian mathematical bulletin, Tome 7 (1964) no. 1, pp. 121-131. doi: 10.4153/CMB-1964-014-4
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[1] 1. Bernstein, S., Sur I' ordre de la meilleure approximation des fonctions continues par des polynomes de degré donné, Mémoires de l' Académie Royale de Belgique, (2), 4(1912), 1–103. Google Scholar

[2] 2. Erdős, P., On extremal properties of the derivative of the polynomials, Annals of Math. 41(1940), 310–313. Google Scholar

[3] 3. Markoff, A., On a certain problem of D.I. Mendelieff, Utcheniya Zapiski Imperatorskoi Akademie Nauk. (Russia) 62 (1889), 1–24. Google Scholar

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