Abstract
This chapter reviews and introduces some concepts which are important throughout this book. It starts in Section 2.1 by introducing some notational conventions. The chapter proceeds by discussing some elementary properties of convex sets in Section 2.2 and of convex functions in Section 2.3. Finally it ends with Section 2.4 where some concepts introduced in the previous sections are generalized.
Keywords
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, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1998 Kluwer Academic Publishers
About this chapter
Cite this chapter
dos Santos Gromicho, J.A. (1998). Elements of Convexity. In: Quasiconvex Optimization and Location Theory. Applied Optimization, vol 9. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3326-5_2
Download citation
DOI: https://doi.org/10.1007/978-1-4613-3326-5_2
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-3328-9
Online ISBN: 978-1-4613-3326-5
eBook Packages: Springer Book Archive