On an inequality of S. Bernstein and the Gauss-Lucas theorem

A Aziz, NA Rather - Analytic and geometric inequalities and applications, 1999 - Springer
A Aziz, NA Rather
Analytic and geometric inequalities and applications, 1999•Springer
In this paper we first present an interesting generalization of the Gauss-Lucas Theorem.
Next we use this result as a basic tool to prove certain compact generalizations of the well-
known inequalities of S. Bernstein, P. Erdös and PD Lax, NC Ankeny and TJ Rivlin, and
others.
Abstract
In this paper we first present an interesting generalization of the Gauss-Lucas Theorem. Next we use this result as a basic tool to prove certain compact generalizations of the well-known inequalities of S. Bernstein, P. Erdös and P.D. Lax, N.C. Ankeny and T.J. Rivlin, and others.
Springer
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