Abstract. In this paper we establish certain sharp results concerning the maximum modulus of the polar derivative of a polynomial P(z) with restricted zeros. Our results generalize and refine some results of Turán, Malik, Govil and others.Mathematics subject classification (1991): 30A10, 30C10, 30D15.

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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.

Abstract. In this paper we establish some new L q inequalities for polynomials which generalize and refine some results of Szegö, Zygmund, De Bruijn and others.Mathematics subject classification (1991): Primary 26D05, 30D15, Secondary 41A17.

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