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Convex functions : constructions, characterizations and counterexamples /

by Borwein, Jonathan M.
Authors: Vanderwerff, Jon D.%author Series: Encyclopedia of mathematics and its applications ; . 109 Published by : Cambridge University Press, (Cambridge, :) Physical details: x, 521 p. : ill. ; 25 cm. ISBN: 0521850053 Subject(s): Convex functions. | Banach spaces. | Geometry, Non-Euclidean. Year: 2010
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Item type Location Call Number Status Notes Date Due
Book Book AUM Main Library 515.8 B739 (Browse Shelf) Available JBC/2012/3154

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.

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