On the distribution of alternation points in uniform polynomial approximation of entire functions (Q1268709)
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scientific article; zbMATH DE number 1216709
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the distribution of alternation points in uniform polynomial approximation of entire functions |
scientific article; zbMATH DE number 1216709 |
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On the distribution of alternation points in uniform polynomial approximation of entire functions (English)
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1 November 1998
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The author considers the asymptotic distribution of alternation points in the best real uniform approximation to a real function \(f\in C[-1,1]\) in the set of polynomials. In particular, it is shown that the convergence (in the weak star topology) of a discrete measure, constructed by counting the alternation points, to the equilibrium distribution of \([-1,1]\) depends on growth properties of \(f\).
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best uniform approximation by polynomials
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