Best approximation to \(1-x^ m\) by special rational functions (Q1088085)
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scientific article; zbMATH DE number 3990018
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Best approximation to \(1-x^ m\) by special rational functions |
scientific article; zbMATH DE number 3990018 |
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Best approximation to \(1-x^ m\) by special rational functions (English)
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1987
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The author proves that the order of best approximations of \(1-x^ m\) on [0,1] by rational functions P(x)/Q(x), where P(x) has non-negative, non- decreasing coefficients and degree \(\leq m-1\) and Q(x) has non-negative, non-increasing coefficients and degree \(\leq n(Q(0)>0)\) is exactly \(m/(m+n+1)\).
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order of best approximations
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