Given an open subset Ω of ℝn, a function f:Ω→ℝ is called C1,1 if its first-order partial derivatives exist and are locally Lipschitz. For such functions, many of the (generalized) second-order derivatives that have been defined (those of Peano, Riemann, Yang-Jeyakumar, and Hiriart-Urruty among others) are finite. The paper establishes some inequalities between these second-order derivatives and compares optimality conditions associated to them

Remarks on second order generalized derivatives for differentiable functions with Lipschitzian Jacobian / D. La Torre, M. Rocca. - In: APPLIED MATHEMATICS E-NOTES. - ISSN 1607-2510. - 3(2003), pp. 130-137.

Remarks on second order generalized derivatives for differentiable functions with Lipschitzian Jacobian

D. La Torre
Primo
;
2003

Abstract

Given an open subset Ω of ℝn, a function f:Ω→ℝ is called C1,1 if its first-order partial derivatives exist and are locally Lipschitz. For such functions, many of the (generalized) second-order derivatives that have been defined (those of Peano, Riemann, Yang-Jeyakumar, and Hiriart-Urruty among others) are finite. The paper establishes some inequalities between these second-order derivatives and compares optimality conditions associated to them
Settore SECS-S/06 - Metodi mat. dell'economia e Scienze Attuariali e Finanziarie
http://www.emis.de/journals/AMEN/2003/021005-2.pdf
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/179181
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