摘要
In this paper,we develop Maurey’s and Bobkov-Ledoux’s methods to prove modified Brascamp-Lieb inequalities and log-Sobolev inequalities for one-dimensional log-concave measure.To prove these inequalities,the harmonic Prékopa-Leindler inequality is used.We prove that these new inequalities are more efficient in estimating the variance and entropy for some functions with exponential terms.
作者
Denghui WU
Jiazu ZHOU
武登辉;周家足(College of Science,Northwest A&F University,Yangling,712100,China;School of Mathematics and Big Data,Guizhou Education University,Guiyang,550018,China)
基金
Supported in part by the NSFC(12071378,12461009)
the Natural Science Basic Research Program of Shaanxi(2023-JC-YB-036)
the Shaanxi Fundamental Science Research Project for Mathematics and Physics(23JSQ033).
