Filling the Gap Between Lower-C1 and Lower-C2 Functions
Daniilidis, Aris ; Malick, Jérôme
HAL, hal-00804407 / Harvested from HAL
Text on HAL
The classes of lower-C1,α functions (0 < α ≤ 1), that is, functions locally representable as a maximum of a compactly parametrized family of continuously differentiable functions with α-H ̈older derivative, are hereby introduced. These classes form a strictly decreasing sequence from the larger class of lower-C1 towards the smaller class of lower-C2 functions, and can be analogously characterized via perturbed con- vex inequalities or via appropriate generalized monotonicity properties of their subdifferentials. Several examples are provided and a complete classification is given.
Publié le : 2005-07-05
Classification:  [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC],  [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA] 
@article{hal-00804407,
     author = {Daniilidis, Aris and Malick, J\'er\^ome},
     title = {Filling the Gap Between Lower-C1 and Lower-C2 Functions},
     journal = {HAL},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00804407}
}

Daniilidis, Aris; Malick, Jérôme. Filling the Gap Between Lower-C1 and Lower-C2 Functions. HAL, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/hal-00804407/