A simple proof of A. F. Timan's theorem (Q793249)
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scientific article; zbMATH DE number 3855651
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A simple proof of A. F. Timan's theorem |
scientific article; zbMATH DE number 3855651 |
Statements
A simple proof of A. F. Timan's theorem (English)
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1983
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A new proof which is both simple and short and yields information on the absolute constant M in Timan's theorem (\(f\in C[-1,1]\) implies there exists an algebraic polynomial \(p_ n\) of degree n such that for all \(t\in [-1,1]\), \(| f(t)-p(t)| \leq M\omega \{f;(n\sqrt{1-t^ 2}+| t|)/n\})\) is given.
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algebraic polynomial
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