Best approximation in the space of continuous vector-valued functions (Q1103139)
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scientific article; zbMATH DE number 4052226
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Best approximation in the space of continuous vector-valued functions |
scientific article; zbMATH DE number 4052226 |
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Best approximation in the space of continuous vector-valued functions (English)
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1988
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\textit{S. Tanimoto} [J. Approximation Theory 45, 1-10 (1985; Zbl 0578.41032)] has deduced characterization theorems for best approximations by finite-dimensional linear subspaces in the space of continuous vector- valued functions from a general minimax theorem. In the present note it is shown that these theorems (and even more general ones) can be obtained directly from a well-known characterization theorem valid for best approximations in any normed linear space.
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characterization theorems for best approximations
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