The $G$--semidifferentiability concept was introduced in literature some years ago 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.
On the mean value theorem for semidifferentiable functions
PAPPALARDO, MASSIMO
2010-01-01
Abstract
The $G$--semidifferentiability concept was introduced in literature some years ago 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.File in questo prodotto:
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