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 …

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) …

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 …

In this paper, we sharpen some of the known results of polar derivative of a polynomial by
establishing the L< sup> q-version of a known inequality on the polar derivative of a …