The goal of this paper is to extend to the polar derivatives some previous inequalities
between the L^ γ L γ-norms of the derivative and of the polynomial itself, in case when the …

This paper considers the well known Bernstein and Turán-type inequalities that relate the
uniform norm of a polynomial to that of its derivative on the unit circle in the plane. Here, we …

In this paper we study the extensions of the classical inequalities of Bernstein, Erdős–Lax
and Turán's inequalities, from complex polynomials to three kinds of quaternionic …

INEQUALITIES FOR COMPLEX POLYNOMIAL WITH RESTRICTED ZEROS Page 1 Nonlinear
Functional Analysis and Applications Vol. 28, No. 4 (2023), pp. 943-956 ISSN: 1229-1595(print) …

Abstract If P (z):=∑ v= 0 navzv is a polynomial of degree n having all its zeros in| z|≤ k, k≥
1, then Govil (Proc Am Math Soc 41: 543–546, 1973) proved max| z|= 1| P′(z)|≥ n 1+ kn …

Some Zygmund-type integral inequalities for the polar derivatives of complex polynomials,
inspired by the classical Bernstein-type inequalities that relate the uniform norms of …

In this paper, we establish some new inequalities in the complex plane that are inspired by
some classical Turán-type inequalities that relate the norm of a univariate complex …

This work is a part of a recent wave of studies on inequalities which relate the uniform-norm
of a univariate complex coefficient polynomial to its derivative on the unit disk in the plane …

In this paper, we establish some new inequalities in the plane that are inspired by some
classical Bernstein-type inequalities that relate the sup-norm of a polynomial to that of its …

If P (z)= an∏ v= 1 n (z− zv) is a polynomial of degree n having all its zeros in| z|≤ k, k≥ 1
then Aziz [Inequalities for the derivative of a polynomial. Proc Am Math Soc. 1983; 89 (2) …