𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Chain Rule for Essentially Smooth Lipschitz Functions

✍ Scribed by Borwein, Jonathan M.; Moors, Warren B.


Book ID
118204329
Publisher
Society for Industrial and Applied Mathematics
Year
1998
Tongue
English
Weight
285 KB
Volume
8
Category
Article
ISSN
1052-6234

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Essentially Smooth Lipschitz Functions
✍ Jonathan M. Borwein; Warren B. Moors πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 535 KB

In this paper we address some of the most fundamental questions regarding the differentiability structure of locally Lipschitz functions defined on separable Banach spaces. For example, we examine the relationship between integrability, D-representability, and strict differentiability. In addition t

Superposition and Chain Rule for Bounded
✍ Giuseppe SavarΓ©; Franco Tomarelli πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 579 KB

We study the properties of superposition of Bounded Hessian functions, establishing the validity of a second-order chain rule. We prove rectifiability properties of all noncritical level sets of BH-functions by showing a geometric measure theory analogous of Dini's Theorem.