Convex functions : constructions, characterizations and counterexamples
Jonathan M. Borwein, Jon D. Vanderwerff.
Cambridge, UK ; New York : Cambridge University Press, 2010.
x, 521 págs. : ilustraciones ; 25 cm.
Serie: Encyclopedia of mathematics and its applications ; 109
ISBN: 9780521850056 (hardback), 0521850053 (hardback)
Incluye referencias bibliográficas (p. [485]-507) e índice.
Reseña: MathSciNet, 2011f:49001
Contenido
- 1. Why convex?
- 2. Convex functions on Euclidean spaces
- 3. Finer structure of Euclidean spaces
- 4. Convex functions on Banach spaces
- 5. Duality between smoothness and strict convexity
- 6. Further analytic topics
- 7. Barriers and Legendre functions
- 8. Convex functions and classifications of Banach spaces
- 9. Monotone operators and the Fitzpatrick function
- 10. Further remarks and notes.
