Results 71 to 80 of about 503,781 (127)

Quantitative stability for the Brunn–Minkowski inequality

open access: yes, 2019
© 2016 We prove a quantitative stability result for the Brunn–Minkowski inequality: if |A|=|B|=1, t∈[τ,1−τ] with τ>0, and |tA+(1−t)B|1/n≤1+δ for some small δ, then, up to a translation, both A and B are quantitatively close (in terms of δ) to a convex ...
Jerison, David   +2 more
core   +1 more source

Brunn-Minkowski inequality and its aftermath

open access: yes
Brunn-Minkowski-Lusternik inequality generalizations, s-unimodal ...
Gupta, Somesh Das
core  

On the Brunn-Minkowski and Aleksandrov-Fenchel Inequalities [PDF]

open access: yes, 2014
The Brunn-Minkowski inequality has a wide range of generalizations and its applications spread throughout many mathematical fields. Using a inequality by Brascamp-Lieb a functional version of Brunn-Minkowski is found in Prekopa's theorem and the ...
Larsson, Simon
core   +1 more source

Λογαριθμική ανισότητα Brunn-Minkowski και το λογαριθμικό πρόβλημα Minkowski [PDF]

open access: yes, 2017
Η θεωρία Brunn-Minkowski βασίζεται στη σύνδεση του αθροίσματος Minkowski κυρτών σωμάτων με τον όγκο. Κεντρικό ρόλο σε αυτή τη θεωρία έχουν η ανισότητα Brunn-Minkowski και οι μεικτοί όγκοι του Minkowski. Η αντικατάσταση του αθροίσματος Minkowski από άλλου
Καλαντζόπουλος Παύλος   +1 more
core  

Les desigualtats de Brunn-Minkowski

open access: yes, 2012
Aquest article fa una exposició de la desigualtat de Brunn-Minkowski, que relaciona la mesura de la suma de dos conjunts amb la dels seus sumands, i d'algunes de les seves variants.
Serra, Oriol
core   +1 more source

An Equivalence of Dual Brunn-Minkowski Inequality for Volume Differences

open access: yes, 2013
We establish an equivalence form of the dual Brunn-Minkowski inequality for volume differences, which was established in Geom.
Zhao, C, Cheung, WS
core  

Stability of the log-Brunn-Minkowski inequality in the case of many hyperplane symmetries [PDF]

open access: yes
In the case of symmetries with respect to n independent linear hyperplanes, a stability version of the logarithmic Brunn-Minkowski inequality and the logarithmic Minkowski inequality for convex bodies is ...
Boroczky, Karoly, De, Apratim
core  

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