Inequalities for polynomials with restricted coefficients (Q1109166)
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scientific article; zbMATH DE number 4069257
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inequalities for polynomials with restricted coefficients |
scientific article; zbMATH DE number 4069257 |
Statements
Inequalities for polynomials with restricted coefficients (English)
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1988
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In a previous paper [\textit{C. Frappier}, \textit{Q. I. Rahman} and \textit{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.
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Bernstein polynomial
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Riesz polynomial
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Bernstein inequality
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Hadamard product
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