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Titlebook: Analytic Aspects of Convexity; Gabriele Bianchi,Andrea Colesanti,Paolo Gronchi Book 2018 Springer International Publishing AG 2018 Convex

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11#
發(fā)表于 2025-3-23 13:30:31 | 只看該作者
12#
發(fā)表于 2025-3-23 14:02:48 | 只看該作者
Text and Violence in Tsvetaeva’s ween areas of sections of these bodies. In this note we extend two such inequalities established in Koldobsky (Adv Math 283:473–488, 2015) and Giannopoulos and Koldobsky (Trans Am Math Soc, ., to appear) from the hyperplane case to the case of sections of arbitrary dimensions.
13#
發(fā)表于 2025-3-23 18:03:17 | 只看該作者
14#
發(fā)表于 2025-3-24 00:05:27 | 只看該作者
15#
發(fā)表于 2025-3-24 03:09:45 | 只看該作者
Extensions of Reverse Volume Difference Inequalities,ween areas of sections of these bodies. In this note we extend two such inequalities established in Koldobsky (Adv Math 283:473–488, 2015) and Giannopoulos and Koldobsky (Trans Am Math Soc, ., to appear) from the hyperplane case to the case of sections of arbitrary dimensions.
16#
發(fā)表于 2025-3-24 06:37:43 | 只看該作者
Discrete Centro-Affine Curvature for Convex Polygons,pectively, for polygons. These concepts of affine length are shown to be similar to their counterparts defined for smooth convex bodies in that they satisfy analogous affine isoperimetric type inequalities.
17#
發(fā)表于 2025-3-24 11:09:40 | 只看該作者
Characterizing the Volume via a Brunn-Minkowski Type Inequality,).?+?.vol(.). for compact sets ., . and .?∈?[0, 1]. Here we will show that if a given measure satisfies an inequality like this, with a certain positive power, for the family of all Euclidean balls then it must be a constant multiple of the volume.
18#
發(fā)表于 2025-3-24 15:40:19 | 只看該作者
19#
發(fā)表于 2025-3-24 20:07:16 | 只看該作者
https://doi.org/10.1007/978-0-8176-4753-7mial algebra. This is a short way to encode all local kinematic formulas. We then characterize the invariant valuations on complex space forms leaving the space of invariant angular curvature measures fixed.
20#
發(fā)表于 2025-3-25 02:23:56 | 只看該作者
Dual Curvature Measures in Hermitian Integral Geometry,mial algebra. This is a short way to encode all local kinematic formulas. We then characterize the invariant valuations on complex space forms leaving the space of invariant angular curvature measures fixed.
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