Geodesic
Conformal mappings and inequalities for algebraic polynomials. II
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 19, Tome 302 (2003), pp. 18-37 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper supplements the previous paper of the author under the same title. An analog of the Schwarz boundary lemma is proved for non-univalent regular mappings of subsets of the unit disk onto a disk. Based on this result, certain strengthened inequalities of Bernstein type for algebraic polynomials are obtained. The generalized Mendeleev problem is discussed. Two-sided bounds for the module of the derivative of a polynomial with critical points on an interval are established. Bounds for the coefficients of polynomials under certain constraints are provided. 
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V. N. Dubinin. Conformal mappings and inequalities for algebraic polynomials. II. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 19, Tome 302 (2003), pp. 18-37. http://geodesic.mathdoc.fr/item/ZNSL_2003_302_a1/

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