Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/923632
- Title
- Convex functions: constructions, characterizations and counterexamples
- Author/Creator
-
Borwein, Jonathan M.;
Vanderwerff, Jon
- Institution
- The University of Newcastle. Faculty of Science & Information Technology, School of Mathematical and Physical Sciences
- Description
- Like differentiability, convexity is a natural and powerful property of functions that plays a significant role in many areas of mathematics, both pure and applied. It ties together notions from topology, algebra, geometry and analysis, and is an important tool in optimization, mathematical programming and game theory. This book, which is the product of a collaboration of over 15 years, is unique in that it focuses on convex functions themselves, rather than on convex analysis. The authors explore the various classes and their characteristics and applications, treating convex functions in both Euclidean and Banach spaces.
- Relation
- Encyclopedia of Mathematics and its Applications 109
- Publisher Link
- http://dx.doi.org/10.1017/CBO9781139087322
- Date
- 2010
- Publisher
- Cambridge University Press
- Keyword(s)
-
convexity;
mathematics;
convex functions;
Euclidean;
Banach
- Resource Type
- book
- Identifier
- http://hdl.handle.net/1959.13/923632
- Identifier
- ISBN:9780521850056
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