The best strong uniqueness constant for a multivariate Chebyshev polynomial (Q789639)
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scientific article; zbMATH DE number 3846151
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The best strong uniqueness constant for a multivariate Chebyshev polynomial |
scientific article; zbMATH DE number 3846151 |
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The best strong uniqueness constant for a multivariate Chebyshev polynomial (English)
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1984
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It is shown that the best strong uniqueness constant for a suitably defined Chebyshev polynomial, \(T_ n(x)\), on the cube \([-1,1]^ r\) is \((2^ rn_ 1...n_ r-1)^{-1}\), where \(n=(n_ 1,...,n_ r)\). This generalizes the result of \textit{A. K. Cline} [J. Approximation Theory 8, 160-172 (1973; Zbl 0274.41022)] for the case \(r=1\).
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best strong uniqueness constant
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Chebyshev polynomial
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