Using the notion of h-subdifferential, we characterize both first and second order differentiability of h-convex functions in stratified groups. We show that Aleksandrov's second order differentiability of h-convex functions is equivalent to a suitable differentiability of their horizontal gradient.

Characterizations of differentiability for h-convex functions in stratified groups

MAGNANI, VALENTINO;
2014-01-01

Abstract

Using the notion of h-subdifferential, we characterize both first and second order differentiability of h-convex functions in stratified groups. We show that Aleksandrov's second order differentiability of h-convex functions is equivalent to a suitable differentiability of their horizontal gradient.
2014
Magnani, Valentino; Matteo, Scienza
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/236849
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