Skip to main content
SpringerLink
Log in
Book cover

Convex Analysis and Monotone Operator Theory in Hilbert Spaces pp 143–153Cite as

Convex Functions: Variants

  • Chapter
  • First Online:

  • 10k Accesses

Part of the book series: CMS Books in Mathematics ((CMSBM))

Abstract

In this chapter we present variants of the notion of convexity for functions. The most important are the weaker notion of quasiconvexity, and the stronger notions of uniform and strong convexity.

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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

  1. Mathematics Irving K. Barber School, University of British Columbia, Kelowna, B.C., V1V 1V7, Canada

    Heinz H. Bauschke

  2. Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie - Paris 6, 4, Place Jussieu, 75005, Paris, France

    Patrick L. Combettes

Authors
  1. Heinz H. Bauschke
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Patrick L. Combettes
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Heinz H. Bauschke .

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Bauschke, H.H., Combettes, P.L. (2011). Convex Functions: Variants. In: Convex Analysis and Monotone Operator Theory in Hilbert Spaces. CMS Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9467-7_10

Download citation

Publish with us

Policies and ethics

Search

Navigation