Results 61 to 70 of about 503,781 (127)

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

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

Stability of Inequalities in the Dual Brunn-Minkowski Theory

, 1999
Stability versions are given of several inequalities from E. Lutwak's dual Brunn-Minkowski theory. These include the dual Aleksandrov-Fenchel inequality, the dual Brunn-Minkowski inequality, and the dual isoperimetric inequality.
Gardner, R.J., Vassallo, S.
core   +1 more source

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  

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  

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  

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

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

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

Orlicz mixed radial Blaschke–Minkowski homomorphisms

, 2020
Our main aim is to generalize the mixed radial Blaschke–Minkowski homomorphisms to the Orlicz space. By calculating first-order variation of the harmonic p-dual quermassintegrals of mixed radial Blaschke–Minkowski homomorphisms, we introduce a new affine
Cheung, WS, Zhao, CJ
core   +1 more source