Geodesic
Remarks on some recent results about polynomials with restricted zeros
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 67 (2013) no. 2.

Voir la notice de l'article provenant de la source Library of Science

We point out certain flaws in two papers published in Ann. Univ. Mariae Curie-Skłodowska Sect. A, one in 2009 and the other in 2011. We discuss in detail the validity of the results in the two papers in question.
Keywords: Polynomials, extremal properties, Bernstein's inequality. 
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Qazi, M. A. Remarks on some recent results about polynomials with restricted zeros. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 67 (2013) no. 2. http://geodesic.mathdoc.fr/item/AUM_2013_67_2_a5/

[1] Ahuja, A., Dewan, K. K., Hans, S., Inequalities concerning polar derivative of polynomials, Ann. Univ. Mariae Curie-Skłodowska Sect. A 65 (2011), 1–9.

[2] Dewan, K. K., Hans, S., On maximum modulus for the derivative of a polynomial, Ann. Univ. Mariae Curie-Skłodowska Sect. A 63 (2009), 55–62.

[3] Govil, N. K., On the derivative of a polynomial, Proc. Amer. Math. Soc. 41 (1973), 543–546.

[4] Govil, N. K., On a theorem of S. Bernstein, J. Math. Phys. Sci. 14 (1980), 183–187.

[5] Rahman, Q. I., Schmeisser, G., Analytic Theory of Polynomials, Clarendon Press, Oxford, 2002.