We consider the inequality which has a “dual” relation with Beckner’s logarithmic Sobolev inequality. By using the relative entropy, we identify the sharp constant and the extremal of this inequality. Moreover, we derive the logarithmic uncertainty principle like Beckner’s one.
|Number of pages||8|
|Journal||Proceedings of the American Mathematical Society|
|Publication status||Published - 2018|
ASJC Scopus subject areas
- Applied Mathematics