Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

On the polar derivative of a polynomial

Document Type : Research Paper

Author
shahrood university of technology
Abstract
For a polynomial p(z) of degree n, having all zeros in |z|< k, k< 1, Dewan et al [K. K. Dewan, N. Singh and A. Mir, Extension of some polynomial inequalities to the polar derivative, J. Math. Anal. Appl. 352 (2009) 807-815] obtained inequality between the polar derivative of p(z) and maximum modulus of p(z). In this paper we improve and extend the above inequality. Our result generalizes certain well-known polynomial inequalities.
Keywords
Subjects

Volume 40, Issue 4 - Serial Number 4
August 2014
Pages 967-976

  • Receive Date 07 March 2012
  • Revise Date 16 July 2013
  • Accept Date 16 July 2013