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Borwein, Jonathan M.

Convex functions : constructions, characterizations and counterexamples / Jonathan M. Borwein, Jon D. Vanderwerff. - Cambridge, UK ; New York : Cambridge University Press, 2010. - 1 online resource (x, 521 pages) : illustrations - Encyclopedia of mathematics and its applications ; 109 . - Encyclopedia of mathematics and its applications ; v. 109. .

Includes bibliographical references (pages 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.

This text explores the various classes and their characteristics, treating convex functions in both Euclidean and Banach spaces.

ISBN: 9781139811798 (electronic bk.) 1139811797 (electronic bk.) 9781139637282 1139637282 1139087320 (ebook) 9781139087322 (ebook) 9781139811545 1139811541

Source: CL0500000282 Safari Books Online

Nat. Bib. No.: GBA984257 bnb

Nat. Bib. Agency Control No.: 015357024 Uk

Subjects--Topical Terms:
Convex functions.
Banach spaces.
Geometry, Non-Euclidean.
Fonctions convexes.
Espaces de Banach.
Géométrie non-euclidienne.
MATHEMATICS--Calculus.
MATHEMATICS--Mathematical Analysis.
Banach spaces.
Convex functions.
Geometry, Non-Euclidean.
Konvexe Funktion

Index Terms--Genre/Form:
Electronic books.
Lehrbuch.

LC Class. No.: QA331.5 / .B655 2010eb

Dewey Class. No.: 515.8