Results 51 to 60 of about 3,973 (97)

Forward and Reverse Entropy Power Inequalities in Convex Geometry

, 2016
The entropy power inequality, which plays a fundamental role in information theory and probability, may be seen as an analogue of the Brunn-Minkowski inequality.
Madiman, Mokshay, Melbourne, James, Xu, Peng   +2 more
core   +1 more source

Stability of the Borell–Brascamp–Lieb Inequality for Multiple Power Concave Functions

Axioms
In this paper, we prove the stability of the Brunn–Minkowski inequality for multiple convex bodies in terms of the concept of relative asymmetry. Using these stability results and the relationship of the compact support of functions, we establish the ...
Meng Qin, Zhuohua Zhang, Rui Luo, Mengjie Ren, Denghui Wu   +4 more
doaj   +1 more source

New sharp Gagliardo-Nirenberg-Sobolev inequalities and an improved Borell-Brascamp-Lieb inequality [PDF]

, 2017
We propose a new Borell-Brascamp-Lieb inequality which leads to novel sharp Euclidean inequalities such as Gagliardo-Nirenberg-Sobolev inequalities in R^n and in the half-space R^n\_+.
Bolley, François, Cordero-Erausquin, Dario, Fujita, Yasuhiro, Gentil, Ivan, Guillin, Arnaud   +4 more
core   +2 more sources

Inequalities for dual affine quermassintegrals

Journal of Inequalities and Applications, 2006
For star bodies, the dual affine quermassintegrals were introduced and studied in several papers. The aim of this paper is to study them further. In this paper, some inequalities for dual affine quermassintegrals are established, such as the Minkowski ...
Jun Yuan, Gangsong Leng
doaj  

Inequalities of Aleksandrov body

Journal of Inequalities and Applications, 2011
A new concept of p-Aleksandrov body is firstly introduced. In this paper, p-Brunn-Minkowski inequality and p-Minkowski inequality on the p-Aleksandrov body are established.
Yan Hu, Junhua Jiang
doaj  

The Dual Hamilton–Jacobi Equation and the Poincaré Inequality

Mathematics
Following the equivalence between logarithmic Sobolev inequalities and hypercontractivity shown by L. Gross, and applying the ideas and methods of the work by Bobkov, Gentil and Ledoux, we would like to establish a new connection between the logarithmic ...
Rigao He, Wei Wang, Jianglin Fang, Yuanlin Li   +3 more
doaj   +1 more source

Sharp affine weighted L 2 Sobolev inequalities on the upper half space

Advanced Nonlinear Studies
We establish some sharp affine weighted L 2 Sobolev inequalities on the upper half space, which involves a divergent operator with degeneracy on the boundary.
Dou Jingbo, Hu Yunyun, Yue Caihui
doaj   +1 more source

Dual affine isoperimetric inequalities

Journal of Inequalities and Applications, 2006
We establish some inequalities for the dual -centroid bodies which are the dual forms of the results by Lutwak, Yang, and Zhang. Further, we establish a Brunn-Minkowski-type inequality for the polar of dual -centroid bodies.
Bin Xiong, Wuyang Yu, Lin Si
doaj  

Divergence Measures: Mathematical Foundations and Applications in Information-Theoretic and Statistical Problems. [PDF]

Entropy (Basel), 2022
Sason I.
europepmc   +1 more source

Interpolating log-determinant and trace of the powers of matrix A + t B. [PDF]

Stat Comput, 2022
Ameli S, Shadden SC.
europepmc   +1 more source