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Convex Sets and Convex Functions

  • Mariano Giaquinta
  • Giuseppe Modica
Chapter

Abstract

We have encountered convex sets and convex functions on several occasions. Here we would like to discuss these notions in a more systematic way. Among nonlinear functions, the convex ones are the closest ones to the linear, in fact, functions that are convex and concave at the same time are just the linear affine functions.

Keywords

Saddle Point Convex Function Extreme Point Convex Body Dual Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Scuola Normale SuperiorePisaItaly
  2. 2.Dipartimento di Sistemi e InformaticaUniversità di FirenzeFirenzeItaly

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