The concept of duality in convex analysis, and the characterization of the Legendre transform

By Shiri Artstein-Avidan, V. Milman. 2009

130 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/f49942e842f7ea5288ae9ac20d4bc118d3c835a2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Shiri Artstein-Avidan
2. V. Milman
3. Osman Güler
4. Sergey G. Bobkov
5. Bo'az Klartag
6. Matthieu Fradelizi
7. Mathieu Meyer
8. Rafal Latala

In Computational Theory and Mathematics

1. Osman Güler
2. V. Milman
3. Shiri Artstein-Avidan

Citations in the corpus

• The concept of duality for measure projections of convex bodies (2008, methodology): “We elaborate on the geometric interpretation in Section 2. As s →∞ , this class converges (in the sense of uniform convergence on compact sets, see [4] for more precise statements) to the class of logconcave functions for which duality was characterized completely in [ 3 ] as a consequence of Theore”
• Foundations of Optimization (2010, background): “The recent paper [9] characterizes the Fenchel transform in terms of involution and order-reversing properties.”