Skip to main content
SpringerLink
Log in

New Representation Formula for Convex Functions on Separable Normed Spaces

  • Published:
Journal of Optimization Theory and Applications Aims and scope Submit manuscript

Abstract

We derive a new representation formula for lower-semicontinuous convex functions on separable normed spaces. As a consequence of this formula, we obtain a C ∞-approximation method for convex functions which are not necessarily differentiable.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Seeger, A., Smoothing a Polyhedral Convex Function via Cumulant Transformation and Homogenization, Technical Report 4, Department of Mathematics, University of Avignon, 1996.

  2. Alberti, G., and Serra- Cassano, F., Nonoccurrence of Gap for One-Dimensional Autonomous Functionals, Calculus of Variations, Homogenization, and Continuous Mechanics, Edited by G. Bouchitté, G. Buttazzo, and P. Suquet, World Scientific Press, Singapore, Republic of Singapore, pp. 1–17, 1994

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Avignon, Avignon, France

    A. Seeger

Authors
  1. A. Seeger
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Seeger, A. New Representation Formula for Convex Functions on Separable Normed Spaces. Journal of Optimization Theory and Applications 93, 639–643 (1997). https://doi.org/10.1023/A:1022655432459

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1022655432459

Search

Navigation