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    • On an Inequality Concerning the Polar Derivative of a Polynomial

      A Aziz N A Rather

      Volume 117 Issue 3 August 2007 pp 349-357

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/117/03/0349-0357

    • Keywords

       

      Zygmund’s inequality; polar derivative; $L_p$-norm inequalities.

    • Abstract

       

      In this paper, we present a correct proof of an $L_p$-inequality concerning the polar derivative of a polynomial with restricted zeros. We also extend Zygmund’s inequality to the polar derivative of a polynomial.

    • Author Affiliations

       

      A Aziz1 N A Rather1

      1. Post Graduate Department of Mathematics, University of Kashmir, Hazratbal, Srinagar 190 006, India

    • Dates

       
      Published
      August 2007
      Manuscript received
      16 March 2006
      Manuscript revised
      24 October 2006

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