On a problem in monotone approximation (Q582492)
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scientific article; zbMATH DE number 4130934
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a problem in monotone approximation |
scientific article; zbMATH DE number 4130934 |
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On a problem in monotone approximation (English)
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1989
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A sufficient condition which guarantees that the nth polynomial of best approximation to \(f\in C[-1,1]\) is increasing for n sufficiently large, is given in this paper. Using this condition the author gives a counter- example to a theorem of \textit{G. Tzimbalario} [Bull. Am. Math. Soc. 83, 1311-1312 (1977; Zbl 0392.41015)].
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