Results 91 to 100 of about 636,012 (237)
On the stability of Brunn-Minkowski type inequalities [PDF]
arXiv, 2016 Log-Brunn-Minkowski inequality was conjectured by Bor\"oczky, Lutwak, Yang and Zhang \cite{BLYZ}, and it states that a certain strengthening of the classical Brunn-Minkowski inequality is admissible in the case of symmetric convex sets. It was recently shown by Nayar, Zvavitch, the second and the third authors \cite{LMNZ}, that Log-Brunn-Minkowski ...
arxiv
General Minkowski type and related inequalities for seminormed fuzzy integrals
Sahand Communications in Mathematical Analysis, 2014 Minkowski type inequalities for the seminormed fuzzy integrals on abstract spaces are studied in a rather general form. Also related inequalities to Minkowski type inequality for the seminormed fuzzy integrals on abstract spaces are studied.
Bayaz Daraby, Fatemeh Ghadimi
doaj
A unified treatment for Lp Brunn-Minkowski type inequalities [PDF]
arXiv, 2016 A unified approach used to generalize classical Brunn-Minkowski type inequalities to Lp Brunn-Minkowski type inequalities, called the Lp transference principle, is refined in this paper. As illustrations of the effectiveness and practicability of this method, several new Lp Brunn-Minkowski type inequalities concerning the mixed volume, moment of ...
arxiv
The dimensional Brunn–Minkowski inequality in Gauss space [PDF]
Journal of Functional Analysis, 2020 Alexandros Eskenazis, Georgios Moschidis
semanticscholar +1 more source
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
Classical inequalities for pseudo-integral [PDF]
arXiv, 2020 In this paper, we have derived certain classical inequalities, namely, Young's, H\"older's, Minkowski's and Hermite-Hadamard inequalities for pseudo-integral (also known as $g$-integral). For Young's, H\"older's, Minkowski's inequalities, both the cases $p>1$ as well as $p<1,\,p\ne 0$ have been covered.
arxiv
Stability of the Borell–Brascamp–Lieb Inequality for Multiple Power Concave Functions
AxiomsIn this paper, we prove the stability of the Brunn–Minkowski inequality for multiple convex bodies in terms of the concept of relative asymmetry. Using these stability results and the relationship of the compact support of functions, we establish the ...
Meng Qin +4 more
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On Minkowski's inequality and its application
Journal of Inequalities and Applications, 2011 In the paper, we first give an improvement of Minkowski integral inequality. As an application, we get new Brunn-Minkowski-type inequalities for dual mixed volumes.
Cheung Wing-Sum, Zhao Chang-Jian
doaj
Functional inequalities derived from the Brunn-Minkowski inequalities for quermassintegrals [PDF]
arXiv, 2008 We use Brunn-Minkowski inequalities for quermassintegrals to deduce a family of inequalities of Poincar\'e type on the unit sphere and on the boundary of smooth convex bodies in the $n$-dimensional Euclidean space.
arxiv