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Convex Functions : constructions, characterizations and counterexamples / Jonathan M Borwein

By: Borwein, Jonathan MContributor(s): Borwein, Jonathan M | Vanderwerff, Jon DMaterial type: Text

TextPublisher number: :International Book Distributors | :Flat No 17, Prakash Apartment 4405/2, 5 Ansari Road Darya Ganj New Delhi Series: Encyclopedia of mathematics and its applications, v. 109Publication details: New York : Cambridge University Press, 2010Description: x, 521p. 24cmISBN: 9780521850056Subject(s): Mathematics | Analysis | Convex functions | Banach spaces | Geometry, Non-Euclidean | Mathematics - Calculus | Mathematics -- Mathematical Analysis | Konvexe FunktionDDC classification: 515.8 BOR

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 space

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Holdings
Item type	Current library	Call number	Status	Notes	Date due	Barcode	Item holds
Costly Books	SNU LIBRARY	515.8 BOR (Browse shelf(Opens below))	Not For Loan	Costly Books shifted to Mathematics Dept.		28679

Total holds: 0

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 space

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