Results 11 to 20 of about 2,936 (172)
The Functional Orlicz Brunn-Minkowski Inequality for q-Capacity
Journal of Function Spaces, 2020 In this paper, we establish functional forms of the Orlicz Brunn-Minkowski inequality and the Orlicz-Minkowski inequality for the electrostatic q-capacity, which generalize previous results by Zou and Xiong.
Wei Wang, Juan Li, Rigao He, Lijuan Liu
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On p-radial Blaschke and harmonic Blaschke additions [PDF]
Journal of Inequalities and Applications, 2017 In the paper, we first improve the radial Blaschke and harmonic Blaschke additions and introduce the p-radial Blaschke and p-harmonic Blaschke additions.
Chang-Jian Zhao
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From Brunn–Minkowski to sharp Sobolev inequalities [PDF]
Annali di Matematica Pura ed Applicata, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sergey G. Bobkov, Michel Ledoux
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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.
Lewen Ji, Zhenbing Zeng, Zhong Jingjing
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The log-Brunn-Minkowski inequality in $\mathbb {R}^3$ [PDF]
Taiwanese Journal of Mathematics, 2018 B\"or\"oczky, Lutwak, Yang and Zhang recently proved the log-Brunn-Minkowski inequality which is stronger than the classical Brunn-Minkowski inequality for two origin-symmetric convex bodies in the plane.
Yunlong Yang, Deyan Zhang
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The Reverse-log-Brunn-Minkowski inequality [PDF]
, 2023 Firstly, we propose our conjectured Reverse-log-Brunn-Minkowski inequality (RLBM). Secondly, we show that the (RLBM) conjecture is equivalent to the log-Brunn-Minkowski (LBM) conjecture proposed by Böröczky-Lutwak-Yang-Zhang. We name this as ``reverse-to-forward" principle.
Dongmeng Xi
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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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Brunn–Minkowski Inequalities for Sprays on Surfaces
The Journal of Geometric AnalysisAbstractWe propose a generalization of the Minkowski average of two subsets of a Riemannian manifold, in which geodesics are replaced by an arbitrary family of parametrized curves. Under certain assumptions, we characterize families of curves on a Riemannian surface for which a Brunn–Minkowski inequality holds with respect to a given volume form.
Rotem Assouline
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The Dual Orlicz Brunn–Minkowski Inequality for the Polars of Mixed Projection Bodies
Taiwanese journal of mathematicsYanli Guan, Wenxue Xu
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Discrete Brunn–Minkowski inequality for subsets of the cube [PDF]
CombinatoricaLars Becker +3 more
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