On \(\beta\)-differentiability of norms

In this note we give some characterizations for the differentiability with respect to a bornology of a continuous convex function. The special case of seminorms is treated. A characterization of this type of differentiability in terms of the subgradient of the function is also obtained.

Bibliographic Details
Main Author: Valeriu Anisiu
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2004-08-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://www.ictp.acad.ro/jnaat/journal/article/view/768