Proceedings of the Centre for Mathematics and its Applications

On the differentiability of convex functions

Maria Elena Verona

Full-text: Open access

Abstract

Let X be a Banach space and C be a closed, convex subset of X such that N(C), the subset of its non support points, is non empty. We investigate differentiability properties of convex functions defined on N(C) and recover many results known to be true in the case N(C) = int(C).

Article information

Source
Workshop/Miniconference on Functional Analysis and Optimization. Simon Fitzpatrick and John Giles, eds. Proceedings of the Centre for Mathematical Analysis, v. 20. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 1988), 195-202

Dates
First available in Project Euclid: 18 November 2014

Permanent link to this document
https://projecteuclid.org/ euclid.pcma/1416340115

Mathematical Reviews number (MathSciNet)
MR1009606

Zentralblatt MATH identifier
0643.49016

Citation

Verona, Maria Elena. On the differentiability of convex functions. Workshop/Miniconference on Functional Analysis and Optimization, 195--202, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, Canberra AUS, 1988. https://projecteuclid.org/euclid.pcma/1416340115


Export citation