Approximation of an indicator of an interval by algebraic polynomials with Hermitian interpolation at two points (Q2720925)
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scientific article; zbMATH DE number 1611728
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of an indicator of an interval by algebraic polynomials with Hermitian interpolation at two points |
scientific article; zbMATH DE number 1611728 |
Statements
2 July 2001
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indicator
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approximation by polynomials
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interpolation
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0.93269193
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0.9033973
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0.9018761
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Approximation of an indicator of an interval by algebraic polynomials with Hermitian interpolation at two points (English)
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An order of approximation for the function \( signum (x - y)\) by polynomials \(p_n (x)\) in the variable \(y\) over \([-1, 1]\) is obtained with the interpolation of arbitrary multiplicity at the endpoints of \([-1, 1]\). The order of approximation depends on both \(n\) and a disposition of points \(x\) and \(y\).
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