In this work we provide a characterizations of $C^{1,1}$ functions on $\R^n$ by means of second order directional derivatives. From this result we deduce a Taylor formula for this class of functions and some optimality conditions.
$C^{1,1}$ functions and optimality conditions / D. La Torre, M. Rocca. - In: JOURNAL OF CONCRETE AND APPLICABLE MATHEMATICS. - ISSN 1548-5390. - 3:1(2005), pp. 41-54.
$C^{1,1}$ functions and optimality conditions
D. La TorrePrimo
;
2005
Abstract
In this work we provide a characterizations of $C^{1,1}$ functions on $\R^n$ by means of second order directional derivatives. From this result we deduce a Taylor formula for this class of functions and some optimality conditions.File in questo prodotto:
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