Jensen’s inequality on convex spaces

By K. Kuwae. 2014

50 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/a5d8d8666518653f26ff49dfa1028b556581e3dd

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. Young-Heon Kim
2. Brendan Pass
3. Alessio Figalli
4. Cédric Villani
5. Thierry Klein
6. Jérémie Bigot
7. Guido De Philippis
8. Robert J. McCann

In Geometry and Topology

1. Brendan Pass
2. Young-Heon Kim
3. Alessio Figalli
4. Cédric Villani
5. Grégoire Loeper
6. Jiakun Liu

Citations in the corpus

• Wasserstein Barycenters over Riemannian manifolds (2014, background): “We note that geometric versions of Jensen’s inequality (that is, versions formulated in terms of barycenters on metric spaces rather than linear averages) are known for measures on finite dimensional smooth manifolds [12, Proposition 2] and on more general spaces with appropriate sectional curvature”