Convex Functions - Constructions, Characterizations and Counterexamples

Informationen zum Autor 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. Klappentext Explores the various classes and their characteristics! treating convex functions in both Euclidean and Banach spaces. Zusammenfassung The product of a collaboration of over 15 years! this volume is unique because it focuses on convex functions themselves! rather than on convex analysis. The authors explore the various classes and their characteristics! treating convex functions in both Euclidean and Banach spaces. Inhaltsverzeichnis 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.

Product details

• Authors: Jonathan M Borwein, Jonathan M. Borwein, Jonathan M. (Professor Borwein, Jonathan M. Vanderwerff Borwein, Jon D. Vanderwerff
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 14.01.2010
• EAN: 9780521850056
• ISBN: 978-0-521-85005-6
• No. of pages: 532
• Series: Encyclopedia of Mathematics an
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis