Jonathan M. Borwein, Jon D. Vanderwerff

Convex Functions

Constructions, Characterizations and Counterexamples

• Gebundenes Buch

Produktbeschreibung

Explores the various classes and their characteristics, treating convex functions in both Euclidean and Banach spaces.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 532
• Erscheinungstermin: 4. November 2011
• Englisch
• Abmessung: 240mm x 161mm x 33mm
• Gewicht: 957g
• ISBN-13: 9780521850056
• ISBN-10: 0521850053
• Artikelnr.: 28024797

Autorenporträt

Jonathan M. Borwein is Canada Research Chair in Distributed and Collaborative Research at Dalhousie University, Nova Scotia. He is presently Visiting Professor Laureate at the University of Newcastle, New South Wales.

Inhaltsangabe

Preface
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
References
Index.