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 Torre
Primo
;
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.
Divided differences, riemann derivatives, $C^{1,1}$ functions, nonlinear optimization, generalized derivatives
Settore SECS-S/06 - Metodi mat. dell'economia e Scienze Attuariali e Finanziarie
2005
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/6536
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