Let p (z) be a polynomial of degree n which does not vanish in| z|< k. It is known that for each
q> 0 and k⩾ 1,[Formula: see text] In this paper, we present a refinement of this inequality …

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 …

Let p (z) be a polynomial of degree n and for any real or complex number α, let Dαp (z)= np
(z)+(α− z) p′(z) denote the polar derivative of the polynomial p (z) with respect to α. In this …

IEEE Paper Template in A4 (V1) Page 1 International Journal of Mathematics Trends and
Technology- Volume20 Number1-April2015 ISSN: 2231-5373 http://www.ijmttjournal.org Page …

In this paper, we establish some Bernstein-type integral inequalities for a certain class of
polynomials involving the polar derivative. Our results generalize some known polynomial …

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 …

Let P (z) be a polynomial of degree n and P'(z) its derivative. In this paper, we shall
generalize a known result of Aziz and Dawood [J. Approx. Theory, Vol. 54 (1988), pp. 306 …

SOME INTEGRAL MEAN INEQUALITIES CONCERNING POLAR DERIVATIVE OF A
POLYNOMIAL Let Pn be the class of polynomials P(z) = ∑ cjzj o Page 1 Available online at …

Some inequalities concerning the polar derivative of a polynomial Page 1 © Some inequalities
concerning the polar derivative of a polynomial Abdullah Mir * Ajaz Wani MH Gulzar …

Let be a polynomial of degree and for any real or complex number, and let denote the polar
derivative of the polynomial with respect to. In this paper, we obtain new results concerning …