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Convex functions [electronic resource] : constructions, characterizations and counterexamples / Jonathan M. Borwein, Jon D. Vanderwerff.

By: Contributor(s): Material type: TextTextSeries: Encyclopedia of mathematics and its applications ; v. 109.Publication details: Cambridge, UK ; New York : Cambridge University Press, 2010.Description: 1 online resource (x, 521 p.) : illISBN:
  • 9781139811798 (electronic bk.)
  • 1139811797 (electronic bk.)
Subject(s): Genre/Form: Additional physical formats: Print version:: Convex functions.DDC classification:
  • 515.8 22
LOC classification:
  • QA331.5 .B655 2010eb
Online resources:
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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library EBSCO Mathematics Available
Total holds: 0

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.

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

Description based on print version record.

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