• Title of article

    Some inequalities concerning the rate of growth of polynomials

  • Author/Authors

    Mir, Abdullah Islamia College of Science and Commerce - Department of Mathematics, INDIA , Dewan, K. K. Jamia Millia Islamia (Central University) - Faculty of Natural Sciences - Department of Mathematics, INDIA , Singh, Naresh Jamia Millia Islamia (Central University) - Faculty of Natural Sciences - Department of Mathematics, INDIA

  • From page
    239
  • To page
    247
  • Abstract
    In this paper we consider a class of polynomials p(z)=a_0+suml_{v=t}^n a_vz^v, tge1, not vanishing in |z| k, k ≥ 1 and investigate the dependence of max |z|=1 |p(Rz) − p(z)| on max |z|=1 |p(z)| . Our result not only generalizes some polynomial inequalities, but also a variety of interesting results can be deduced from it by a fairly uniform procedure.
  • Keywords
    Polynomial , Zeros , Inequalities.
  • Journal title
    Turkish Journal of Mathematics
  • Journal title
    Turkish Journal of Mathematics
  • Record number

    2530844