Characterization of best approximants from level sets of convex functions in normed linear spaces (Q2731616)
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scientific article; zbMATH DE number 1626229
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterization of best approximants from level sets of convex functions in normed linear spaces |
scientific article; zbMATH DE number 1626229 |
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11 September 2002
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best approximation
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convex function
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inequalities
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Characterization of best approximants from level sets of convex functions in normed linear spaces (English)
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The author derives a characterization of elements of best approximation to a given element of a normed linear space from a subset which is a level of some convex function. The statements and proofs are quite technical, and will not be given here. Suffice it to say the characterization is given in terms of estimates involving inequalities between the value of the given convex function and derivatives of the norm on the space.
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