Results 41 to 50 of about 4,011 (135)
Orlicz Mean Dual Affine Quermassintegrals
Journal of Function Spaces, 2018 Our main aim is to generalize the mean dual affine quermassintegrals to the Orlicz space. Under the framework of dual Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the first Orlicz variation of the mean dual ...
Chang-Jian Zhao, Wing-Sum Cheung
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Sharp $L^1$ Inequalities for Sup-Convolution
Discrete Analysis, 2023 Sharp $L^1$ Inequalities for Sup-Convolution, Discrete Analysis 2023:7, 16 pp. Let $f$ and $g$ be two real-valued functions defined on a compact convex subset $C$ of $\mathbb R^k$.
Hunter Spink +2 more
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Some inequalities for star duality of the radial Blaschke-Minkowski homomorphisms
Open Mathematics, 2020 In 2006, Schuster introduced the radial Blaschke-Minkowski homomorphisms. In this article, associating with the star duality of star bodies and dual quermassintegrals, we establish Brunn-Minkowski inequalities and monotonic inequality for the radial ...
Zhao Xia, Wang Weidong, Lin Youjiang
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Orlicz-Aleksandrov-Fenchel Inequality for Orlicz Multiple Mixed Volumes
Journal of Function Spaces, 2018 Our main aim is to generalize the classical mixed volume V(K1,…,Kn) and Aleksandrov-Fenchel inequality to the Orlicz space. In the framework of Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the Orlicz first ...
Chang-Jian Zhao
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The openness conjecture and complex Brunn-Minkowski inequalities [PDF]
, 2014 We discuss recent versions of the Brunn-Minkowski inequality in the complex setting, and use it to prove the openness conjecture of Demailly and Koll\'ar.Comment: This is an account of the results in arXiv:1305.5781 together with some background ...
B. Berndtsson +13 more
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INEQUALITIES BETWEEN MIXED VOLUMES OF CONVEX BODIES: VOLUME BOUNDS FOR THE MINKOWSKI SUM
Mathematika, Volume 66, Issue 4, Page 1003-1027, October 2020., 2020 Abstract In the course of classifying generic sparse polynomial systems which are solvable in radicals, Esterov recently showed that the volume of the Minkowski sum P1+⋯+Pd of d‐dimensional lattice polytopes is bounded from above by a function of order O(m2d), where m is the mixed volume of the tuple (P1,⋯,Pd).
Gennadiy Averkov +2 more
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The Brunn-Minkowski inequality [PDF]
Bulletin of the American Mathematical Society, 2002 This is a basic and high quality survey on the subject related to the isoperimetric inequality. As the author writes: ``This guide explains the relationship between Brunn-Minkowski inequality (B-M-I) and other inequalities in geometry and analysis, and some applications.'' This work can be considered as the up-to-date version of the excellent survey ...
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Isoperimetric and Brunn-Minkowski inequalities for the (p, q)-mixed geominimal surface areas
Open Mathematics, 2022 Motivated by the celebrated work of Lutwak, Yang and Zhang [1] on (p,q)\left(p,q)-mixed volumes and that of Feng and He [2] on (p,q)\left(p,q)-mixed geominimal surface areas, we in the present paper establish and confirm the affine isoperimetric and ...
Zhang Juan, Wang Weidong, Zhao Peibiao
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An equivalence form of the Brunn-Minkowski inequality for volume differences [PDF]
, 2007 In this paper, we establish an equivalence form of the Brunn-Minkowski inequality for volume differences. As an application, we obtain a general and strengthened form of the dual Kneser-Süss inequality.
Cheung, WS, Zhao, CJ
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The General Dual Orlicz Geominimal Surface Area
Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 In this paper, we study the general dual Orlicz geominimal surface area by the general dual Orlicz mixed volume which was introduced by Gardner et al. (2019). We find the conditions to the existence of the general dual Orlicz‐Petty body and hence prove the continuity of the general geominimal surface area in the Orlicz setting (2010 Mathematics Subject
Ni Li, Shuang Mou, Alberto Fiorenza
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