Paper Info
Title
An information-theoretic proof of Nash’s inequality
Abstract
We show that an information-theoretic property of Shannon's entropy power, known as concavity of entropy power [7], can be fruitfully employed to prove inequalities in sharp form. In particular, the concavity of entropy power implies the logarithmic Sobolev inequality, and the Nash's inequality with the sharp constant.
Year
DOI
Venue
2012
10.4171/RLM/645
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI
Keywords
DocType
Volume
Entropy power,Fisher information,logarithmic Sobolev inequality,Nash's inequality
Journal
24
Issue
ISSN
Citations 
1
1120-6330
4
PageRank 
References 
Authors
0.45
3
1
Name
Order
Citations
PageRank
Giuseppe Toscani113824.06