A general approach to the study of Chebyshev subspaces in \(L_ 1\)- approximation of continuous functions (Q1095330)
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scientific article; zbMATH DE number 4028074
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A general approach to the study of Chebyshev subspaces in \(L_ 1\)- approximation of continuous functions |
scientific article; zbMATH DE number 4028074 |
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A general approach to the study of Chebyshev subspaces in \(L_ 1\)- approximation of continuous functions (English)
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1987
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The author considers the problem of characterising those subspaces of C(K,X), where K is a compact subject of \(R^ n\) and X is a real Banach space, that have the following property: there is a unique best \(L^ 1\) approximation with respect to all positive weights. Some applications of the main results are given.
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Banach space
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unique best \(L^ 1\) approximation
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positive weights
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applications
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