Convex functions : constructions, characterizations and counterexamples / Jonathan M. Borwein, Jon D. Vanderwerff.
Material type:
TextSeries: Encyclopedia of mathematics and its applications ; v. 109.Publication details: Cambridge, UK ; New York : Cambridge University Press, 2010.Description: 1 online resource (x, 521 pages) : illustrationsContent type: - text
- computer
- online resource
- 9781139811798
- 1139811797
- 9781139637282
- 1139637282
- 1139087320
- 9781139087322
- 9781139811545
- 1139811541
- 515.8 22
- QA331.5 .B655 2010eb
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OPJGU Sonepat- Campus | E-Books EBSCO | Available |
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.
Print version record.
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