Skip to main content

Convex functions

Part of the Lecture Notes in Mathematics book series (LNM,volume 580)

Keywords

  • Convex Function
  • Proper Function
  • Cluster Point
  • Young Func Tion
  • Asymptotic Cone

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.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography of Chapter I

  1. ASPLUND, E. ROCKAFELIAR, R.T. gradients of convex functions. Trans. A.M.S. 139(1969) 443–467.

    CrossRef  MATH  Google Scholar 

  2. BOURBAKI,-Espaces vectoriels topologiques. Ch. I-II 2ième ed., Ch. III-IV-V 1ère ed.

    Google Scholar 

  3. CASTAING, Ch.-Quelques applications du théorème de Banach Dieudonné. Montpellier 1969–70, Publication No 67.

    Google Scholar 

  4. CHOQUET, G.-Ensembles et cônes faiblement complets. C.R. Acad. Sci. Paris. 254 (1962)-1908–1910.

    MathSciNet  MATH  Google Scholar 

  5. DIEUDONNE, J.-Sur la séparation des ensembles convexes. Math. Annalen 163 (1966)-1–3.

    CrossRef  MathSciNet  Google Scholar 

  6. IOFFE, A.D.-TIHOMIROV (V.M.)-Duality of convex functions and extremum problems. Uspehi Mat. N. 23–6 (1968)-51–116.

    Google Scholar 

  7. IOFFE, A.D.-LEVIN (V.L.)-Subdifferentials of convex functions-Trudi Moskov. Mat. Ob. 26 (1972)-3–73.

    MathSciNet  MATH  Google Scholar 

  8. JOLY, J.L.-Une famille de topologies et convergences sur l'ensemble des fonctionnelles convexes-Thèse Grenoble 1970.

    Google Scholar 

  9. LESCARRET, C.-Sur la sous-différentiabilité d'une somme de fonctionnelles convexes semi-continues inférieurement. C.R. Acad. Sc. Paris-262 (1966)-443–446.

    MathSciNet  MATH  Google Scholar 

  10. MEYER, P.A.-Probabilités et potentiel-Hermann Paris 1966.

    Google Scholar 

  11. MOREAU, J.J.-Fonctionnelles convexes. Polycopié Collège de France 1966–67.

    Google Scholar 

  12. ROCKAFELLAR, R.T.-Convex Analysis-Princeton University Press (1970).

    Google Scholar 

  13. VALADIER, M. Contribution a l'Analyse Convexe-Thesis Paris (1970).

    Google Scholar 

  14. WEGMANN, R.-Der Wertebereich von Vektoringegralem. Z. Warschein… 14 (1970)-203–238.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 1977 Springer-Verlag Berlin · Heidelberg

About this chapter

Cite this chapter

Castaing, C., Valadier, M. (1977). Convex functions. In: Convex Analysis and Measurable Multifunctions. Lecture Notes in Mathematics, vol 580. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087686

Download citation

  • DOI: https://doi.org/10.1007/BFb0087686

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08144-9

  • Online ISBN: 978-3-540-37384-1

  • eBook Packages: Springer Book Archive