Results 31 to 40 of about 813 (131)
, 2020 Communications on Pure and Applied Mathematics, Volume 73, Issue 7, Page 1406-1452, July, 2020.
Károly J. Böröczky +4 more
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A direct proof of the Brunn-Minkowski inequality in nilpotentLie groups [PDF]
, 2022 The author would like to thank his Ph.D. advisor Manuel Ritoré for sugesting the problem and his helpThe purpose of this work is to give a direct proof of the multiplicative Brunn-Minkowski inequality in nilpotent Lie groups based on Hadwiger-Ohmann’s ...
Pozuelo Domínguez, Julián
core +1 more source
Stability of reverse isoperimetric inequalities in the plane: Area, Cheeger, and inradius
Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.Abstract In this paper, we present stability results for various reverse isoperimetric problems in R2$\mathbb {R}^2$. Specifically, we prove the stability of the reverse isoperimetric inequality for λ$\lambda$‐convex bodies — convex bodies with the property that each of their boundary points p$p$ supports a ball of radius 1/λ$1/\lambda$ so that the ...
Kostiantyn Drach, Kateryna Tatarko
wiley +1 more source
Inequalities and counterexamples for functional intrinsic volumes and beyond
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We show that analytic analogs of Brunn–Minkowski‐type inequalities fail for functional intrinsic volumes on convex functions. This is demonstrated both through counterexamples and by connecting the problem to results of Colesanti, Hug, and Saorín Gómez.
Fabian Mussnig, Jacopo Ulivelli
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Subgroup Decomposition of the Gini Coefficient: A New Solution to an Old Problem
Econometrica, Volume 94, Issue 1, Page 169-192, January 2026.We derive a novel decomposition of the Gini coefficient into within‐ and between‐group inequality terms that sum to the aggregate Gini coefficient. This decomposition is derived from a set of axioms that ensure desirable behavior for the within‐ and between‐group inequality terms.
Vesa‐Matti Heikkuri, Matthias Schief
wiley +1 more source
Generalization of the Brunn–Minkowski Inequality in the Form of Hadwiger [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 A class of domain functionals has been built in the Euclidean space. The Brunn–Minkowski type of inequality has been applied to the said class and proved for it.
B.S. Timergaliev
doaj
Some Brunn-Minkowski type inequalities for L p $L_{p}$ radial Blaschke-Minkowski homomorphisms
Journal of Inequalities and Applications, 2016 Schuster introduced radial Blaschke-Minkowski homomorphisms. Recently, they were generalized to L p $L_{p}$ radial Blaschke-Minkowski homomorphisms by Wang et al.
Ying Zhou, Weidong Wang
doaj +1 more source
New fiber and graph combinations of convex bodies
Mathematika, Volume 71, Issue 4, October 2025.Abstract Three new combinations of convex bodies are introduced and studied: the Lp$L_p$ fiber, Lp$L_p$ chord, and graph combinations. These combinations are defined in terms of the fibers and graphs of pairs of convex bodies, and each operation generalizes the classical Steiner symmetral, albeit in different ways.
Steven Hoehner, Sudan Xing
wiley +1 more source
Isoperimetric and Functional Inequalities
Моделирование и анализ информационных систем, 2018 We establish lower estimates for an integral functional$$\int\limits_\Omega f(u(x), \nabla u(x)) \, dx ,$$where \(\Omega\) -- a bounded domain in \(\mathbb{R}^n \; (n \geqslant 2)\), an integrand \(f(t,p) \, (t \in [0, \infty),\; p \in \mathbb{R}^n)\) --
Vladimir S. Klimov
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The sharp doubling threshold for approximate convexity
Bulletin of the London Mathematical Society, Volume 56, Issue 10, Page 3229-3239, October 2024.Abstract We show for A,B⊂Rd$A,B\subset \mathbb {R}^d$ of equal volume and t∈(0,1/2]$t\in (0,1/2]$ that if |tA+(1−t)B|<(1+td)|A|$|tA+(1-t)B|< (1+t^d)|A|$, then (up to translation) |co(A∪B)|/|A|$|\operatorname{co}(A\cup B)|/|A|$ is bounded. This establishes the sharp threshold for the quantitative stability of the Brunn–Minkowski inequality recently ...
Peter van Hintum, Peter Keevash
wiley +1 more source