Convex Functions and Generalized Convex Functions

Giorgio Giorgi (), Bienvenido Jiménez () and Vicente Novo ()
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Giorgio Giorgi: University of Pavia
Bienvenido Jiménez: National University of Distance Education
Vicente Novo: National University of Distance Education

Chapter Chapter 3 in Basic Mathematical Programming Theory, 2023, pp 53-82 from Springer

Abstract: Abstract Similarly to convex sets, convex and concave functions play a central role in mathematical programming theory. Geometrically, a real-valued function defined on a convex set $$X\subset \mathbb {R}^n$$ X ⊂ R n is convex (concave) if the line segment connecting any two points on the surface generated by the function nowhere lies below (above) the surface itself.

Date: 2023
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DOI: 10.1007/978-3-031-30324-1_3

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