Let P (z) = n ν=0 aν z ν be a polynomial of degree n. Then as a generalization of a well-known result of Turán [18], it was proved by Govil [5] that if P (z) is a polynomial of degree n having all its zeros in |z| ≤ K, K ≥ 1, then (0.1) max |z|=1 |P (z)| ≥ n 1 + K n max |z|=1 |P (z)|. In this paper, we prove a polar derivative generalization of this inequality, which as a corollary gives a sharpening of this inequality (0.1).
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