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A converse Gaussian Poincaré-type inequality for convex functions

✍ Scribed by S.G. Bobkov; C. Houdré

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
110 KB
Volume
44
Category
Article
ISSN
0167-7152

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✦ Synopsis

A converse Poincarà e-type inequality is obtained within the class of smooth convex functions for the Gaussian distribution.

📜 SIMILAR VOLUMES

Converse Poincaré-type inequalities for
Converse Poincaré-type inequalities for convex functions
✍ S.G. Bobkov; C. Houdré 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 264 KB

Converse Poincarr-type inequalities are obtained within the class of smooth convex functions. This is, in particular, applied to the double exponential distribution.

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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