Results 81 to 90 of about 489,827 (153)

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  

Functional Brunn-Minkowski inequalities induced by polarity

Advances in Mathematics, 2020
We prove a new family of inequalities, which compare the integral of a geometric convolution of non-negative functions with the integrals of the original functions. For classical inf-convolution, this type of inequality is called the Prékopa-Leindler inequality, which, restricted to indicators of convex bodies, gives the classical Brunn-Minkowski ...
Artstein-Avidan, S., Florentin, D.I., Segal, A.   +2 more
openaire   +4 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

Orlicz-Brunn-Minkowski inequality for radial Blaschke-Minkowski homomorphisms

, 2018
In this paper, we extend the Brunn-Minkowski inequality for radial Blaschke-Minkowski homomorphisms to an Orlicz setting and an Orlicz-Brunn- Minkowski inequality for radial Blaschke-Minkowski homomorphisms is established.
Zhao, Chang-Jian
core  

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

Brunn-Minkowski inequality and its aftermath. [PDF]

, 1978
1 online resource (PDF, 33 pages)Das Gupta, Somesh. (1978). Brunn-Minkowski inequality and its aftermath..
Das Gupta, Somesh
core  

Orlicz Dual Brunn-Minkowski Theory: Addition, Dual Quermassintegrals, and Inequalities

, 2018
We further consider the Orlicz dual Brunn-Minkowski theory. An Orlicz radial harmonic addition is introduced, which generalizes the Lp-radial addition and the Lp-harmonic addition to an Orlicz space, respectively.
Zhao, C, Cheung, WS, Chang-Jian Zhao, Wing Sum Cheung   +3 more
core   +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  

On Gaussian Brunn-Minkowski inequalities

, 2008
In this paper, we are interested in Gaussian versions of the classical Brunn-Minkowski inequality. We prove in a streamlined way a semigroup version of the Ehrard inequality for $m$ Borel or convex sets based on a previous work by Borell. Our method also allows us to have semigroup proofs of the geometric Brascamp-Lieb inequality and of the reverse one
Barthe, Franck, Huet, Nolwen
openaire   +3 more sources

FROM THE BRUNN–MINKOWSKI INEQUALITY TO A CLASS OF POINCARÉ-TYPE INEQUALITIES [PDF]

Communications in Contemporary Mathematics, 2008
We present an argument which leads from the Brunn–Minkowski inequality to a Poincaré-type inequality on the boundary of a convex body K of class [Formula: see text] in Rn. We prove that for every ψ ∈ C1(∂K)[Formula: see text] Here [Formula: see text] denotes the (n - 1)-dimensional Hausdorff measure, νK is the Gauss map of K and DνK is the ...
openaire   +2 more sources