Mean values theorem for convexificators (Q2746829)
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scientific article; zbMATH DE number 1656624
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mean values theorem for convexificators |
scientific article; zbMATH DE number 1656624 |
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27 February 2002
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convexification functions
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Lebourg's mean-value
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0.91928947
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0.89372337
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Mean values theorem for convexificators (English)
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By extending the notion introduced in \(\mathbb{R}^n\) by \textit{V. F. Demyanov} and \textit{V. Jeyakumar} [J. Glob. Optim. 10, No. 3, 305-326 (1997; Zbl 0872.90083)], the authors obtain a mean value theorem for convexification functions in Banach spaces. Also the Lebourg's mean-value theorem is derived as a special case; the details are described in the paper.
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