ArticleOriginal scientific text
Title
Remarks on some recent results about polynomials with restricted zeros
Authors
Abstract
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.
Bibliography
- Ahuja, A., Dewan, K. K., Hans, S., Inequalities concerning polar derivative of polynomials, Ann. Univ. Mariae Curie-Skłodowska Sect. A 65 (2011), 1–9.
- 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.
- Govil, N. K., On the derivative of a polynomial, Proc. Amer. Math. Soc. 41 (1973), 543–546.
- Govil, N. K., On a theorem of S. Bernstein, J. Math. Phys. Sci. 14 (1980), 183–187.
- Rahman, Q. I., Schmeisser, G., Analytic Theory of Polynomials, Clarendon Press, Oxford, 2002.
Main language of publication
English
Published
2013
Published online
2015-07-15
Exact and natural sciences