- Title
- Convex functions of Legendre type in general Banach spaces
- Creator
- Borwein, J. M.; Vanderwerff , J. D.
- Relation
- Journal of Convex Analysis Vol. 8, Issue 2, p. 569-582
- Relation
- http://www.heldermann.de/JCA/JCA08/JCA082/jca08030.htm
- Publisher
- Heldermann Verlag
- Resource Type
- journal article
- Date
- 2001
- Description
- Convex functions of Legendre type are constructed on arbitrary open convex sets in Banach spaces that satisfy appropriate rotundity and smoothness conditions. A simple direct proof of the existence of "universal" barriers on arbitrary open convex sets in ℝn is given.
- Subject
- β-differentiability; essentially smooth; barrier function; Legendre function; strict convexity
- Identifier
- http://hdl.handle.net/1959.13/940670
- Identifier
- uon:13070
- Identifier
- ISSN:0944-6532
- Language
- eng
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