Convex Sets and Convex Functions

Mariano Giaquinta () and Giuseppe Modica ()
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Mariano Giaquinta: Scuola Normale Superiore
Giuseppe Modica: Università di Firenze, Dipartimento di Sistemi e Informatica

Chapter 2 in Mathematical Analysis, 2012, pp 67-148 from Springer

Abstract: Abstract We have encountered convex sets and convex functions on several occasions. Here we would like to discuss these notions in a more systematic way. Among nonlinear functions, the convex ones are the closest ones to the linear, in fact, functions that are convex and concave at the same time are just the linear affine functions.

Keywords: Saddle Point; Convex Function; Extreme Point; Convex Body; Dual Problem (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-0-8176-8310-8_2

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