Inequalities for polynomials with restricted coefficients. (English) Zbl 0655.30005

In a previous paper [C. Frappier, Q. I. Rahman and St. Ruscheweyh, Trans. Am. Math. Soc. 288, 69-99 (1985; Zbl 0567.30006)], various results pertaining to refinements of the inequalities of Bernstein and M. Riesz for polynomials have been obtained. The author continues the study further and using similar methods of proof obtains new results of the same kind. It is discussed that in a certain sense the results obtained are best possible.
Reviewer: G.D.Dikshit


30C10 Polynomials and rational functions of one complex variable
26C05 Real polynomials: analytic properties, etc.
26D20 Other analytical inequalities
41A17 Inequalities in approximation (Bernstein, Jackson, Nikol’skiĭ-type inequalities)


Zbl 0567.30006
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[8] St. Ruscheweyh,Convolutions in Geometric Function Theory Les Presses de l’Université de Montréal, 1982.
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