Approximations of the Bernoulli polynomials by constants and applications to the theory of quadrature formulas (Q1284388)
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scientific article; zbMATH DE number 1278521
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximations of the Bernoulli polynomials by constants and applications to the theory of quadrature formulas |
scientific article; zbMATH DE number 1278521 |
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Approximations of the Bernoulli polynomials by constants and applications to the theory of quadrature formulas (English)
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26 April 1999
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The author studies the behavior in dependence on \(p\in(1, \infty)\) of constants that are the best approximations to the Bernoulli polynomials in \(L_p(0,1)\). The results are applied to studying quadrature formulas, among them Sobolev quadrature formulas with regular boundary layer.
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quadrature formulas
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asymptotic optimality
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Bernoulli polynomials
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