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.
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© 2011 Springer Science+Business Media, LLC
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Denardo, E.V. (2011). Convex Functions. In: Linear Programming and Generalizations. International Series in Operations Research & Management Science, vol 149. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-6491-5_19
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DOI: https://doi.org/10.1007/978-1-4419-6491-5_19
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