Borwein, Jonathan M. <br/><br/>
Convex functions :  constructions, characterizations and counterexamples / 
Jonathan M. Borwein, Jon D. Vanderwerff 
 - Cambridge, U. K. ;  New York :  Cambridge University Press,  c2010 
 - x, 521 p. :  ill. ;  25 cm. 
 - Encyclopedia of mathematics and its applications .
 - Encyclopedia of mathematics and its applications ;  109 .
<br/><br/>Includes bibliographical references and index 
<br/><br/>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 
<br/><br/><label>ISBN: </label>9780521850056 0521850053 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Convex functions<br/>Banach spaces<br/>Geometry, Non-Euclidean