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 InfoCambridge : Cambridge University Press, 2010.
Descriptionx, 521 pages : illustrations ; 25 cm.
Subjects

SeriesEncyclopedia 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 noteIncludes bibliographical references (p. [485]-507) and index.
Genre/formLehrbuch.
LCCN 2010287984
ISBN9780521850056 (cased)
ISBN0521850053