Convex functions : constructions, characterizations and counterexamples / Jonathan M. Borwein, Jon D. Vanderwerff.
| Author/creator | Borwein, Jonathan M. |
| Other author | Vanderwerff, Jon D. |
| Format | Book |
| Publication Info | Cambridge : Cambridge University Press, 2010. |
| Description | x, 521 pages : illustrations ; 25 cm. |
| Subjects |
| Series | Encyclopedia of mathematics and its applications ; 109 Encyclopedia of mathematics and its applications ; v. 109. ^A86469 |
| 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. |
| Summary | This text explores the various classes and their characteristics, treating convex functions in both Euclidean and Banach spaces. |
| Bibliography note | Includes bibliographical references (p. [485]-507) and index. |
| Genre/form | Lehrbuch. |
| LCCN | 2010287984 |
| ISBN | 9780521850056 (cased) |
| ISBN | 0521850053 |