Library of American University of Madaba
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Borwein, Jonathan M.
Convex functions : constructions, characterizations and counterexamples / Jonathan M. Borwein, Jon D. Vanderwerff. - Cambridge, : Cambridge University Press, 2010. - x, 521 p. : ill. ; 25 cm. - Encyclopedia of mathematics and its applications ; 109 .
Includes bibliographical references (p. [485]-507) and index.
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.
9780521850056 (hardback) 0521850053 (hardback)
Convex functions.
Banach spaces.
Geometry, Non-Euclidean.
515.8 / B739
Convex functions : constructions, characterizations and counterexamples / Jonathan M. Borwein, Jon D. Vanderwerff. - Cambridge, : Cambridge University Press, 2010. - x, 521 p. : ill. ; 25 cm. - Encyclopedia of mathematics and its applications ; 109 .
Includes bibliographical references (p. [485]-507) and index.
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.
9780521850056 (hardback) 0521850053 (hardback)
Convex functions.
Banach spaces.
Geometry, Non-Euclidean.
515.8 / B739