Sciweavers

Share
CORR
2010
Springer

Fractional generalizations of Young and Brunn-Minkowski inequalities

8 years 3 months ago
Fractional generalizations of Young and Brunn-Minkowski inequalities
A generalization of Young's inequality for convolution with sharp constant is conjectured for scenarios where more than two functions are being convolved, and it is proven for certain parameter ranges. The conjecture would provide a unified proof of recent entropy power inequalities of Barron and Madiman, as well as of a (conjectured) generalization of the Brunn-Minkowski inequality. It is shown that the generalized Brunn-Minkowski conjecture is true for convex sets; an application of this to the law of large numbers for random sets is described.
Sergey Bobkov, Mokshay M. Madiman, Liyao Wang
Added 09 Dec 2010
Updated 09 Dec 2010
Type Journal
Year 2010
Where CORR
Authors Sergey Bobkov, Mokshay M. Madiman, Liyao Wang
Comments (0)
books