Multivariate Bernoulli functions and polyharmonically exact cubature formula of Euler-Maclaurin (Q2729618)
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scientific article; zbMATH DE number 1623083
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multivariate Bernoulli functions and polyharmonically exact cubature formula of Euler-Maclaurin |
scientific article; zbMATH DE number 1623083 |
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22 July 2002
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Euler-Maclaurin formula
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quadrature
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Bernoulli functions
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Multivariate Bernoulli functions and polyharmonically exact cubature formula of Euler-Maclaurin (English)
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In this paper the authors construct a kind of interpolation trigonometric polynomials of degree \(n\) which converge to the interpolated function uniformly as \(n\) tends to infinity. Uniform approximation order by these interpolation operators are given. These give an answer to a problem posed by S. N. Bernstein in 1930.
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