Results 31 to 40 of about 3,973 (97)
On the Discrete Orlicz Electrostatic q‐Capacitary Minkowski Problem
Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 We establish the existence of solutions to the Orlicz electrostatic q‐capacitary Minkowski problem for polytopes. This contains a new result of the discrete Lp electrostatic q‐capacitary Minkowski problem for p < 0and 1 < q < n.
Yibin Feng, Yanping Zhou, Youjiang Lin
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Dual Orlicz geominimal surface area
Journal of Inequalities and Applications, 2016 The L p $L_{p}$ -geominimal surface area was introduced by Lutwak in 1996, which extended the important concept of the geominimal surface area. Recently, Wang and Qi defined the p-dual geominimal surface area, which belongs to the dual Brunn-Minkowski ...
Tongyi Ma, Weidong Wang
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Fractional generalizations of Young and Brunn-Minkowski inequalities
, 2011 A generalization of Young's inequality for convolution with sharp constant is conjectured for scenarios where more than two functions are being convolved, and it is proven for certain parameter ranges.
Bobkov, Sergey +2 more
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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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, 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
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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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