Some Inequalities for the Polar Derivative of a Polynomial
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Authors: M. H. GULZAR, B. A. ZARGAR AND R. AKHTER
DOI: 10.46793/KgJMat2304.567G
Abstract:
Let P(z) be a polynomial of degree n which has no zeros in |z| < 1, then it was proved by Liman, Mohapatra and Shah [?] that
 | |||
| ≤ |   max |z|=1|P(z)| | ||
−  min |z|=1|P(z)|, |
for any β with |β|≤ 1 and |z| = 1. In this paper we generalize the above inequality and our result also generalizes certain well known polynomial inequalities.
Keywords:
Polynomial, Bernstein inequality, polar derivative.
References:
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