Convex Functions

Eric V. Denardo ()
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Eric V. Denardo: Yale University

Chapter Chapter 19 in Linear Programming and Generalizations, 2011, pp 581-615 from Springer

Abstract: Abstract 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.

Date: 2011
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DOI: 10.1007/978-1-4419-6491-5_19

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