| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4615123 | Journal of Mathematical Analysis and Applications | 2015 | 9 Pages |
Abstract
A sharp quantitative version of the LpLp-mixed volume inequality is established. This is achieved by exploiting an improved Jensen inequality. This inequality is a generalization of Pinsker–Csiszár–Kullback inequality for the Tsallis entropy. Finally, a sharp quantitative version of the LpLp-Brunn–Minkowski inequality is also proved as a corollary.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Van Hoang Nguyen,