Results 81 to 90 of about 543,197 (136)

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

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

A survey of discrete version of Brunn Minkowski inequality

, 2014
在本論文中，我們會先定義一個Brunn-Minkowski不等式。然後我們在第一部 分中首先證明它會收斂。在第二部分中，我們會證明一個離散型式的metric space 也會滿足Brunn-Minkowski不等式。In the rst part of the paper, we give a new de nition of Brunn- Minkowski inequality in metric measure space. Then we show the stability of Brunn-
施柏丞, Shih, Po-Chen
core  

The log-Brunn-Minkowski inequality and its local version

, 2020
The conjectured log-Brunn-Minkowski inequality has attracted much interest since its introduction by Böröczky, Lutwak, Yang and Zhang in 2012. In this talk, I shall survey the connections between this inequality and various outstanding problems in ...
Putterman, Eli
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  

Discrete Brunn–Minkowski inequality for subsets of the cube

Combinatorica
25 pages. References added.
Lars Becker, Paata Ivanisvili, Dmitry Krachun, José Madrid   +3 more
openaire   +2 more sources

SOME NEW BRUNN-MINKOWSKI-TYPE INEQUALITIES IN CONVEX BODIES [PDF]

, 2020
We establish some analogues of the Brunn-Minkowski inequalities on convex bodies and the Minkowski inequality and their inverse versions.
AND LOKENATH DEBNATH Leng Gangsong, Zhao Chang-Jian   +1 more
core  

Sharp quantitative stability of the Brunn-Minkowski inequality [PDF]

, 2023
The Brunn-Minkowski inequality states that for bounded measurable sets $A$ and $B$ in $\mathbb{R}^n$, we have $|A+B|^{1/n} \geq |A|^{1/n}+|B|^{1/n}$. Also, equality holds if and only if $A$ and $B$ are convex and homothetic sets in $\mathbb{R}^d$.
van Hintum, Peter, Figalli, Alessio, Tiba, Marius   +2 more
core  

Brunn–Minkowski inequality for mixed intersection bodies

Journal of Mathematical Analysis and Applications, 2005
In 1985 Lutwak introduced the notion of mixed projection bodies and obtained the Brunn-Minkowski inequality for these bodies. In this paper the authors prove the corresponding inequality for mixed intersection bodies. Besides its intrinsic interest this result is also an interesting example showing the duality between projection and intersection bodies.
Zhao, Chang-jian, Leng, Gangsong
openaire   +2 more sources

88th Annual Meeting of the Meteoritical Society 2026: Abstracts

Meteoritics &Planetary Science, Volume 61, Issue S1, Page S48-S551, August 2026.
wiley   +1 more source