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Hadamard Inequality and a Refinement of Jensen Inequality for Set—Valued Functions

✍ Scribed by Elżbieta Sadowska

Book ID
120766312
Publisher
Springer
Year
1997
Tongue
English
Weight
540 KB
Volume
32
Category
Article
ISSN
1422-6383

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✍ W.H. Yang 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 152 KB

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