Borwein, Jonathan M.
Convex functions : constructions, characterizations and counterexamples / Jonathan M. Borwein, Jon D. Vanderwerff.
— Cambridge, UK ; New York : Cambridge University Press, 2010. x, 521 p. : il. ; 25 cm. — (Encyclopedia of mathematics and its applications ; 109)
Incluye referencias bibliográficas (p. [485]-507) e índice.
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.
ISBN 9780521850056 (hardback). — ISBN 0521850053 (hardback)
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