On the blaschke-santal ́o inequality
Webbecause Blaschke-Santal´o inequality can be applied to K∗G(K). But if K is centrally symmetric, the situation is simpler: minz K∗z is reached at 0, and then K · K ≤ Bn 2 2. We shall also make use of the equality case in Blaschke-Santal´o inequality: there is equality if and only if Kis an ellipsoid. At the end WebSemantic Scholar extracted view of "On the Blaschke-Santaló inequality" by M. Meyer et al. Skip to search form Skip to main content Skip to account menu ... @article{Meyer1990OnTB, title={On the Blaschke-Santal{\'o} inequality}, author={Mathieu Meyer and Alain Pajor}, journal={Archiv der Mathematik}, year={1990}, volume={55}, …
On the blaschke-santal ́o inequality
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Webevery convex body with bounded isotropic constant satisfies the reverse Santal´o inequality, and then that all bodies do. We first recall the statements and the history of the results. Web26 de mar. de 2024 · The Blaschke–Santaló inequality was proven by W. Blaschke in 1917, for $ n = 2,3 $, and by L. Santaló in 1949, for all $ n \geq 2 $. Both proofs use the …
http://web.math.unifi.it/users/pgronchi/Volumeproduct.pdf Web15 de jan. de 2024 · More specifically, our work concerns the Blaschke-Santaló inequality for convex sets and some functional versions of it. The Blaschke-Santaló inequality is …
Web1 de dez. de 2013 · The Blaschke-Santaló Inequality is the assertion that the volume product of a centrally symmetric convex body in Euclidean space is maximized by (and … WebGlances at the Insane in Other Lands: V.-The New Brunswick Asylum, St. John.
WebOriginal language: English (US) Pages (from-to) 106-112: Number of pages: 7: Journal: Annals of the New York Academy of Sciences: Volume: 440: Issue number: 1: DOIs
WebBlaschke{Santal o inequality, leads to an isoperimetric inequality for the product of the volumes of a body and its polar centroid body, called the polar Busemann{Petty centroid inequality. An L p analogue of the latter inequality was established by Lutwak and Zhang [33], who showed that it provides an L p extension of the Blaschke{Santal o ... cuhk math masterWebSantal o proved in [23] that for every convex body K, there exists a unique point s 2intKsuch that vol(Ks) vol(Kz) for all z 2intK. This unique point s is called the Santal o point of K. For a convex body K, the quantity vol(K)vol(Ks) is usually called the volume product of K. The Blaschke{Santal o inequality (Blaschke cuhkmc wellnessWebwidth and volume, and the Blaschke-Santal´o inequality for the volumes of polar convex bodies. Two proofs are given; the first one can be adapted to hyperbolic space. MSC 2000: 52A40 (primary); 52A55, 52A22 (secondary) Keywords: spherical convexity, Urysohn inequality, Blaschke-Santal´o inequality, intrinsic volume, quermassintegral, polar cuhk math departmentWebAs a seminal inequality for log-concave functions, we rst mention the celebrated Pr ekopa{Leindler inequality which is universally recognized as the functional form of the … cuhk math coursesWeb15 de set. de 2024 · This paper is dedicated to study the sine version of polar bodies and establish the L p-sine Blaschke-Santaló inequality for the L p-sine centroid body. The L … cuhkmc wellness centerhttp://www.math.u-szeged.hu/~vigvik/preprints/hyperconv.pdf cuhk medical laboratory scienceWebThe Blaschke-Santalo inequality is one of the fundamental geometric inequalities. It has been a valuable tool in the fields of convexity (see, for example, [l , 9, 12 ... eastern market shoe repair dc