Results 61 to 70 of about 4,011 (135)
Dual cyclic Brunn-Minkowski inequalities [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2015 An application of Minkowski and Hölder inequalities to functions on the sphere \(\mathbb S^{n-1}\) led the author to a new interpolation type inequality between norms \(L_r\), \(L_s\), \(L_t\) for \(r\), \(s\), \(t \in \mathbb R\). This was furthermore used to derive new Brunn-Minkowski type inequalities for dual quermassintegrals of star bodies in ...
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General L p $L_{p}$ -mixed chord integrals of star bodies
Journal of Inequalities and Applications, 2016 The notion of general mixed chord integrals of star bodies was introduced by Feng and Wang. In this paper, we extend the concept of the general mixed chord integrals to general L p $L_{p}$ -mixed chord integrals of star bodies.
Zhaofeng Li, Weidong Wang
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On Brunn-Minkowski type inequality
Journal of Nonlinear Sciences and Applications, 2018 Summary: The notion of Aleksandrov body in the classical Brunn-Minkowski theory is extended to that of Orlicz-Aleksandrov body in the Orlicz Brunn-Minkowski theory. The analogs of the Brunn-Minkowski type inequality and the first variations of volume are established via Orlicz-Aleksandrov body.
Ji, Lewen +2 more
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, 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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Equality in Borell-Brascamp-Lieb inequalities on curved spaces
, 2018 By using optimal mass transportation and a quantitative H\"older inequality, we provide estimates for the Borell-Brascamp-Lieb deficit on complete Riemannian manifolds.
Balogh, Zoltán M., Kristály, Alexandru
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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
Volumes of Restricted Minkowski Sums and the Free Analogue of the Entropy Power Inequality
, 1995 In noncommutative probability theory independence can be based on free products instead of tensor products. This yields a highly noncommutative theory: free probability .
A.J. Stam +9 more
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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
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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
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