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A functional inequality characterizing convex functions, conjugacy and a generalization of Hölder's and Minkowski's inequalities

✍ Scribed by J. Matkowski

Publisher
Springer
Year
1990
Tongue
English
Weight
529 KB
Volume
40
Category
Article
ISSN
0001-9054

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A generalization of Hadamard’s inequalit
A generalization of Hadamard’s inequality for convex functions
✍ 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