Under consideration are the well-known extremal problems of Bernstein-type which relate
the uniform norm between polynomials on the unit disk in the plane. We establish a few new …

This paper contains some results for algebraic polynomials in the complex plane involving
the polar derivative that are inspired by some classical results of Bernstein. Obtained results …

This paper deals with the problem of finding some upper bound estimates for the maximal
modulus of a lucunary polynomial on a disk of radius R, R≥ 1 under the assumption that the …

The goal of this paper is to obtain some comparison inequalities for a linear operator
between polynomials in the plane. The polynomials under study have constraints on their …

Inequalities Concerning the Rate of Growth of Polynomials Involving the Polar Derivative Page
1 Inequalities Concerning the Rate of Growth of Polynomials Involving the Polar Derivative …

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This paper contains the finding of some upper bound estimates for the maximal modulus of a
lacunary polynomial of degree n on a circle of radius 0< r≤ R≤ k under the assumption that …

This paper contains the finding of some upper bound estimates for the maximal modulus of a
lacunary polynomial of degree n on a circle of radius 0 &lt; r≤ R≤ k under the assumption …

Рассматриваются известные экстремальные задачи типа Бернштейна относительно
равномерных норм полиномов в единичном круге на плоскости. Доказаны новые …

This paper deals with the problem of finding some upper bound estimates for the maximal
modulus of a lacunary polynomial on a disk of radius R, R≥ 1 under the assumption that the …