Results 81 to 90 of about 2,936 (172)

Sufficient and Necessary Condition of the Lp-Brunn-Minkowski Inequality\n Conjecture for p\\in[0,1) [PDF]

, 2021
Shi-Zhong Du
openalex   +1 more source

Brunn–Minkowski and Zhang inequalities for convolution bodies

Advances in Mathematics, 2013
22 pages.
Alonso Gutiérrez, David, Jiménez Gómez, Carlos Hugo, Villa Caro, Rafael   +2 more
openaire   +6 more sources

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  

A (one-dimensional) free Brunn–Minkowski inequality

Comptes Rendus. Mathématique, 2005
We present a one-dimensional version of the functional form of the geometric Brunn–Minkowski inequality in free (non-commutative) probability theory. The proof relies on matrix approximation as used recently by Biane and Hiai et al. to establish free analogues of the logarithmic Sobolev and transportation cost inequalities for strictly convex ...
openaire   +2 more sources

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

The Brunn–Minkowski Inequality, Minkowski's First Inequality, and Their Duals

Journal of Mathematical Analysis and Applications, 2000
Let \(K,L\) be convex bodies in Euclidean space \(\mathbb{E}^n\) with volumes \(V(K)=V(L)=1\), and let \(V_1(K,L)\) denote the mixed volume \(V(K, \dots, K,L)\). Then \[ V(K+L)^{1/n} -2\leq V_1(K,L) -1\leq {1\over n}\bigl(V(K+L)-2^n \bigr). \] These inequalities provide a quantitative improvement of the known equivalence of the Brunn-Minkowski ...
Vassallo, Salvatore Flavio, Gardner, Richard J.   +1 more
openaire   +2 more sources

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

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

Entropy (Basel), 2022
Sason I.
europepmc   +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  

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