A generalization of Hadamard’s inequality for convex functions

✍ Scribed by W.H. Yang

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 152 KB
• Volume: 21
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/j.aml.2007.02.024

✦ Synopsis

In this note, we give a counterexample to show that Hadamard's inequality does not hold on a polyhedron in multi-dimensional Euclidean space. Then we give a sufficient condition on the polyhedron for Hadamard's inequality to hold. Finally, we provide an approach to create a large class of polyhedra on which Hadamard's inequality is true.