On the mean value theorem for semidifferentiable functions

被引：0
|
作者：
Marco Castellani
Massimo Pappalardo
机构：
[1] University of L’Aquila,Department “Sistemi e Istituzioni per l’Economia”
[2] University of Pisa,Department of “Matematica Applicata”
来源：
Journal of Global Optimization | 2010年 / 46卷
关键词：
Semidifferentiable functions; Mean value theorem;
D O I：
暂无
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学科分类号：
摘要：
The G-semidifferentiability concept was introduced in the reference Giannessi (J Optim Theory Appl 60:191–241, 1989) and it furnishes a general scheme for treating generalized derivatives. We prove that, in this context, it is possible to obtain a mean value theorem. By exploiting this result we deduce conditions for a function to be lipschitzian, C-decreasing or quasiconvex.
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页码：503 / 508
页数：5
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