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 …

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 …

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) …

In this paper, we establish some sharp upper bound estimates for the maximal modulus of
polar derivative of a complex polynomial on a disk under the assumption that the polynomial …

This paper contains some results for algebraic polynomials in the complex plane involving
the polar derivative that are inspired by some classical results of Bernstein. Obtained results …

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 …

This paper contains the finding of some upper bound estimates for the maximal modulus of a
lacunary polynomial of degree n on a circle of radius 0< r≤ R≤ k under the assumption that …

Generalizations of some Bernstein-type inequalities for the polar derivative of a polynomial |
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We establish some-inequalities for the polar derivative of a polynomial. Our results
generalize some known Bernstein-type polynomial inequalities and include as special …