Convex Functions

  • Jean-Baptiste Hiriart-Urruty
  • Claude Lemaréchal
Part of the Grundlehren Text Editions book series (TEXTEDITIONS)


The study of convex functions goes together with that of convex sets; accordingly, this chapter and the previous one constitute the first serious steps into the world of convex analysis. This chapter has no pretension to exhaustivity; similarly to Chap. A, it has been kept minimal, containing what is necessary to comprehend the sequel.


Convex Function Affine Function Relative Interior Asymptotic Cone Marginal Function 
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-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Jean-Baptiste Hiriart-Urruty
    • 1
  • Claude Lemaréchal
    • 2
  1. 1.Département de MathématiquesUniversité Paul SabatierToulouseFrance
  2. 2.INRIA, Rhône AlpesZIRSTMontbonnotFrance

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