Recently Milovanović et al.[Bulletin T. CLIII de l'Acaémie serbe des sciences et des arts-
2020.] proved that if P (z)∈ Pn with no zeros in| z|< k, k≥ 1, then,| P′(z)|≤∥ P∥/2 [n−{n …

We establish some Bernstein-type inequalities which are point-wise estimates for the
modulus of the derivative and polar derivative of a polynomial. The obtained results produce …

Let P (z):=∑ υ= 0 na υ z υ be a univariate complex coefficient polynomial of degree n. It was
shown by Malik [J London Math Soc, 1 (1969), 57–60] that if P (z) has all its zeros in| z|≤ k …

In this paper, we establish some upper bound estimates for the modulus of the derivative of
a polynomial on the unit disk while taking into account the placement of the zeros and the …

In this paper, we establish results concerning the upper bound estimates for the maximum
modulus of the derivative of a polynomial on the unit disk. Our results are the complement to …

В данной работе представлены результаты, касающиеся верхних оценок
максимального модуля производной многочлена на единичном диске. Наши …

This paper deals with the problem of finding some upper bound estimates for the maximum
modulus of a univariate complex polynomial on a disk under certain constraints on the zeros …

В данной работе представлены результаты, касающиеся верхних оценок
максимального модуля производной многочлена на единичном диске. Наши …

In this paper, we establish some upper bound estimates for the modulus of the derivative of
a polynomial on the unit disk while taking into account the placement of the zeros and the …