Skip to Main content Skip to Navigation
Journal articles

Filling the Gap Between Lower-C1 and Lower-C2 Functions

Abstract : 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.
Complete list of metadata
Contributor : Jérôme Malick Connect in order to contact the contributor
Submitted on : Monday, March 25, 2013 - 2:35:04 PM
Last modification on : Thursday, January 20, 2022 - 5:28:35 PM
Long-term archiving on: : Wednesday, June 26, 2013 - 4:02:29 AM


Files produced by the author(s)


  • HAL Id : hal-00804407, version 1



Aris Daniilidis, Jérôme Malick. Filling the Gap Between Lower-C1 and Lower-C2 Functions. Journal of Convex Analysis, Heldermann, 2005, 12 (2), pp.315-329. ⟨hal-00804407⟩



Record views


Files downloads