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A generalization of Mercer’s result on convex functions

✍ Scribed by Marek Niezgoda


Book ID
108216259
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
545 KB
Volume
71
Category
Article
ISSN
0362-546X

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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