Unconditional constants and polynomial inequalities (Q1048986)
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scientific article; zbMATH DE number 5655044
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unconditional constants and polynomial inequalities |
scientific article; zbMATH DE number 5655044 |
Statements
Unconditional constants and polynomial inequalities (English)
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8 January 2010
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If \(P\) is a polynomial with real coefficients, \(|P|\) denotes the polynomial obtained from \(P\) replacing its coefficients by their absolute values. Inequalities between the norm of \(|P|\) and the norm of \(P\) on a convex subset are studied for some specific spaces of polynomials. The constants which appear in the studied inequalities happen to be the unconditional constants of the canonical bases of the considered spaces. The mentioned unconditional constants in the spaces of trinomials and respectively of homogeneous polynomials are established.
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unconditional constant
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polynomial inequalities
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trinomials
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homogeneous polynomials
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extreme points
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