Remez-type inequalities and their applications (Q686564)
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scientific article; zbMATH DE number 428535
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remez-type inequalities and their applications |
scientific article; zbMATH DE number 428535 |
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Remez-type inequalities and their applications (English)
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10 October 1993
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The paper offers a survey of the recent research on Remez-type inequalities about sharp uniform bounds for generalized algebraic or trigonometric polynomials, generalized nonnegative polynomials, exponentials of logarithmic potentials and Müntz polynomials if the Lebesgue measure of the subset, where they are at most 1 is known. Various applications of those inequalities in the theory of orthogonal polynomials (generalized Jacobi weight functions, Christoffel functions, the zeros estimates) are given.
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Bernstein-type inequalities
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Markov type inequalities
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generalized Jacobi weight functions
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Remez-type inequalities
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exponentials of logarithmic potentials
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Müntz polynomials
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