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Characterizations of differentiability for h-convex functions in stratified groups

Characterizations of differentiability for h-convex functions in stratified groups

Using the notion of h-subdifferential, we characterize both first and second order differentiability of h-convex functions in stratified groups.Besides some new results involving the h-subdifferential of h-convex functions, we show that at all h-differentiability points of an h-convex function, the existence of a second order expansion coincides with a suitable …