Abstract
We shall give an account of some of the fundamental results concerning critical points of polynomials as well as some of the developments concerning extremal properties of polynomials with an analysis of some inequalities for polynomials and their derivatives as well as their zeros. We provide a counterexample to a theorem of M. Marden concerning the zeros of certain composite polynomials.
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Rassias, T.M. (1992). On polynomial inequalities and extremal problems. In: Walter, W. (eds) General Inequalities 6. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 103. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7565-3_13
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DOI: https://doi.org/10.1007/978-3-0348-7565-3_13
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