| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9495911 | Journal of Functional Analysis | 2005 | 15 Pages |
Abstract
This paper is devoted to refinements of convex Sobolev inequalities in the case of power law relative entropies: a nonlinear entropy-entropy production relation improves the known inequalities of this type. The corresponding generalized Poincaré-type inequalities with weights are derived. Optimal constants are compared to the usual Poincaré constant.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Anton Arnold, Jean Dolbeault,