Applications of conformal mappings to inequalities for trigonometric polynomials. (Q556533)
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scientific article; zbMATH DE number 2177645
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Applications of conformal mappings to inequalities for trigonometric polynomials. |
scientific article; zbMATH DE number 2177645 |
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Applications of conformal mappings to inequalities for trigonometric polynomials. (English)
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21 June 2005
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By using special conformal mappings, the author obtains sharp bounds for trigonometric polynomials \(S_n(x)\) of degree \(n\), satisfying \(|S_n|\leq 1\) on \([-\omega,\omega]\subset (-\pi,\pi)\). This leads to strengthening the bounds for \(|S_n'|\) due to Privalov, Videnskij and Dubinin.
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trigonometric polynomial
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Bernstein inequality
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