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) …

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 …

In this paper, we prove certain sharp inequalities that relate the uniform norm of the
derivative and the polynomial itself, in case when the zeros are outside or inside some …

1. Introduction Let Pn denote the class of all complex polynomials P (z):=∑ nv= 0 cvzv of
degree n. The extremal problems of functions of complex variables and the results where …

Let P (z):= Σn v= 0 avzv be a univariate complex coefficient polynomial of degree n. Then as
a generalization of a well-known classical inequality of Turán [25], it was shown by Govil [7] …

In this paper, we prove some inequalities that relate the sup-norm of a univariate complex
coefficient polynomial and its derivative, when there is a restriction on its zeros. We further …

This paper considers the well known Erdős–Lax and Turán-type inequalities that relate the
uniform norm of a univariate complex coefficient polynomial to that of its derivative on the …

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 …