Results 11 to 20 of about 1,239,021 (236)
The log-Brunn–Minkowski inequality [PDF]
Advances in Mathematics, 2012 It is conjectured that for origin-symmetric convex bodies, there exist a family of inequalities each of which is stronger than the classical Minkowski mixed-volume inequality and a family of inequalities each of which is stronger than the classical Brunn-Minkowski inequality.
Böröczky, Károly (Ifj.) +3 more
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The Brunn-Minkowski Inequality and A Minkowski Problem for Nonlinear Capacity [PDF]
Memoirs of the American Mathematical Society, 2017 In this article we study two classical potential-theoretic problems in convex geometry. The first problem is an inequality of Brunn-Minkowski type for a nonlinear capacity, Cap A
Murat Akman +4 more
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On a complementary Minkowski inequality
Journal of Mathematical Analysis and Applications, 1979 AbstractIt is shown that the Brunn-Minkowski inequality can be viewed as a special case of a complementary Minkowski inequality.
Lutwak, Erwin
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The Minkowski inequality in de Sitter space [PDF]
Pacific Journal of Mathematics, 2019 The classical Minkowski inequality in the Euclidean space provides a lower bound on the total mean curvature of a hypersurface in terms of the surface area, which is optimal on round spheres.
Julian Scheuer
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Robustness of the Gaussian concentration inequality and the Brunn–Minkowski inequality [PDF]
Calculus of Variations and Partial Differential Equations, 2017 We provide a sharp quantitative version of the Gaussian concentration inequality: for every $r>0$, the difference between the measure of the $r$-enlargement of a given set and the $r$-enlargement of a half-space controls the square of the measure of the symmetric difference between the set and a suitable half-space.
Barchiesi Marco, Julin Vesa
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Indagationes Mathematicae, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ChangJian, Z, Cheung, WS
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On Isoperimetric Inequalities in Minkowski Spaces [PDF]
Journal of Inequalities and Applications, 2010 The purpose of this expository paper is to collect some (mainly recent) inequalities, conjectures, and open questions closely related to isoperimetric problems in real, finite-dimensional Banach spaces (= Minkowski spaces).
Horst Martini, Zokhrab Mustafaev
doaj +4 more sources
Orlicz–Brunn–Minkowski inequalities for Blaschke–Minkowski homomorphisms
Geometriae Dedicata, 2016 The paper is concerned with Brunn-Minkowski-type inequalities for Blaschke-Minkowski homomorphisms and their polars with respect to Orlicz addition.
Chen, Feixiang, Leng, Gangsong
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The extremals of Minkowski’s quadratic inequality [PDF]
Duke Mathematical Journal, 2022 52 pages, 6 figures; final ...
Shenfeld, Yair, van Handel, Ramon
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Stability of the Logarithmic Brunn–Minkowski Inequality in the Case of Many Hyperplane Symmetries [PDF]
Studia scientiarum mathematicarum Hungarica (Print), 2021 In the case of symmetries with respect to 𝑛 independent linear hyperplanes, a stability versions of the Logarithmic Brunn–Minkowski Inequality and the Logarithmic Minkowski Inequality for convex bodies are established.
K. Böröczky, Apratim De
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