Convex Functions

  • Eric V. DenardoEmail author
Part of the International Series in Operations Research & Management Science book series (ISOR, volume 149)


This chapter is focused on convex functions. The information in the first six sections is basic and is easy to master. Section 2 introduces the subject. Section 3 shows that each convex function lies on or below its “chords.” Section 19.4 shows that each convex function satisfies “Jensen’s inequality.” Section 19.5 shows that a function is convex if and only if its “epigraph” is a convex set. Section 6 provides a variety of ways in which to determine whether or not a give function is convex.

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Yale UniversityNew HavenUSA

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