Polynomials of fixed sign that deviate least from zero in the spaces \(L_ p\) (Q1068297)
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scientific article; zbMATH DE number 3929610
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Polynomials of fixed sign that deviate least from zero in the spaces \(L_ p\) |
scientific article; zbMATH DE number 3929610 |
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Polynomials of fixed sign that deviate least from zero in the spaces \(L_ p\) (English)
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1985
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It is proved that the finding of polynomials of constants signs of least deviation from zero in spaces \(L_ p\) with weight may be reduced to the similar problem on arbitrary polynomials but for other metric and other weight. This result generalizes one result of \textit{R. Bojanic} and \textit{R. De Vore} [Enseign. Math., II. Ser. 12, 139-164 (1966; Zbl 0152.256)].
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polynomials of constants signs
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weight
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0.9492769
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0.90559375
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0.9047878
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0.8956662
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