# Some Integral Mean Estimates for Polynomials

### From NZJM

**New Zealand Journal of Mathematics**

**Vol.** 44, (2014), **Pages** 83-91

**N. A. Rather**

Department of Mathematics,

University of Kashmir,

Harzarbal, Sringar 190006, India.

**Suhail Gulzar**

Department of Mathematics,

University of Kashmir,

Harzarbal, Sringar 190006, India.

**K. A. Thakur**

Department of Mathematics,

University of Kashmir,

Harzarbal, Sringar 190006, India.

mailto:thakurkhursheed@gmail.com

**Abstract** For the class of Lacunary polynomials , , of degree *n* having all their zeros in where , Aziz and Shah proved for each *r* > 0

In this paper, we extend above inequality to the polar derivative thereby establish some refinements and generalizations of some known polynomial inequalities concerning the polar derivative of a polynomial with restricted zeros.

**Keywords** Polynomials; Inequalities in the complex domain; Polar derivative.

**Classification** (MSC2000) 30C10, 30A10, 41A17.