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 …

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 …

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) …

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 …

Let p (z) be a polynomial of degree n and α be any real or complex number, the polar
derivative of p (z), denoted by D α p (z), is defined as D α p (z)= np (z)+(α-z) p′(z). Let p (z) …

We prove some results for algebraic polynomials in the complex plane that relate the L-norm
of the polar derivative of a complex polynomial and the polynomial under some conditions …

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] …