\(L^p\)-convergence of Lagrange interpolation on the semiaxis (Q949882)
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scientific article; zbMATH DE number 5355159
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L^p\)-convergence of Lagrange interpolation on the semiaxis |
scientific article; zbMATH DE number 5355159 |
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\(L^p\)-convergence of Lagrange interpolation on the semiaxis (English)
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21 October 2008
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The authors study the approximation of functions defined on the unbounded interval \({\mathbb R}^+\), by means of Lagrange polynomials in weighted \(L^p\) spaces. They show their convergence in these spaces. These results can be used in the projection methods in order to approximate the solution of some functional equations.
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Lagrange interpolation
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weighted approximation
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unbounded interval
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convergence
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projection methods
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functional equations
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