Mean values theorem for convexificators (Q2746829)

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scientific article; zbMATH DE number 1656624
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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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    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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