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Convex functions : constructions, characterizations and counterexamples

Author: Jonathan M Borwein; Jon D Vanderwerff
Publisher: Cambridge, UK ; New York : Cambridge University Press, 2010.
Series: Encyclopedia of mathematics and its applications, v. 109.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
This text explores the various classes and their characteristics, treating convex functions in both Euclidean and Banach spaces.
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Genre/Form: Lehrbuch
Document Type: Book
All Authors / Contributors: Jonathan M Borwein; Jon D Vanderwerff
ISBN: 9780521850056 0521850053
OCLC Number: 434562716
Description: x, 521 p. : ill. ; 25 cm.
Contents: Why convex? --
Convex functions on Euclidean spaces --
Finer structure of Euclidean spaces --
Convex functions on Banach spaces --
Duality between smoothness and strict convexity --
Further analytic topics --
Barriers and Legendre functions --
Convex functions and classifications of Banach spaces --
Monotone operators and the Fitzpatrick function --
Further remarks and notes.
Series Title: Encyclopedia of mathematics and its applications, v. 109.
Responsibility: Jonathan M. Borwein, Jon D. Vanderwerff.

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This volume explores the various classes and their characteristics, treating convex functions in both Euclidean and Banach spaces.  Read more...

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'It is a beautiful experience to browse this inspiring book. The reviewer has not seen any source which is even close to presenting so many different and interesting convex functions and Read more...

 
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