On the blaschke-santal ́o inequality
WebSantal 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 WebEuclidean inequalities, the Urysohn inequality connecting mean width 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-
On the blaschke-santal ́o inequality
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Web16 de dez. de 2006 · Request PDF On Dec 16, 2006, Erwin Lutwak published On the Blaschke-Santaló inequality Find, read and cite all the research you need on ResearchGate Web11:00-11:20 Dmitry Faifman: A Funk extension of the Blaschke-Santal´o inequality 11:30-11:50 Gil Solanes: Santal´o point for the Holmes-Thompson boundary area 15:30-16:20 Elisabeth Werner: Blaschke-Santal´o inequality for many functions and geodesic barycenters of measures
WebStudia Math. 88, 68–84 (1988). W. Blaschke, Vorlesungen über Differentialgeometrie II. Berlin-Heidelberg-New York 1923. J. Bourgain and V. D. Milman, New volume ratio … WebMOMENT-ENTROPY INEQUALITIES 759 Here ωn = πn/2/(1 + n/2) denotes the volume of the unit ball in Rn.If K is an origin-symmetric convex body and L is the polar of K, then the above inequality is the classical Blaschke–Santaló inequality, with sharp constant. See, for example, the books of Gardner (1995), Leichtweiß (1998), Schneider (1993)
http://www.math.u-szeged.hu/~vigvik/preprints/hyperconv.pdf WebOn the Blaschke-Santal6 inequality By MATHIEU MEYER and ALAIN PAJOR 1. Introduction. Let K be a convex body in the n-dimensional Euclidean space E (= En). For z in int (K), the interior of K, let K z be the polar body of K with respect to z; denoting by (,) the scalar product, we have:
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}, …
Web7 de ago. de 2024 · In this paper, we establish a generalised Blaschke-Santalò inequality for convex bodies in . This inequality gives an upper bound estimate for the product of … ounces half pintWebOriginal 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 ounces for newborn breast milkWeb15 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 … rod stewart autobiography 2015WebThe functional Blaschke-Santalo inequality of log-concave functions is the analogue of Blaschke-Santal´o inequality of convex bodies. Theorem 1.1. (Artstein, Klartag, … rod stewart aust tour 2023ounces for plane checked luggageWeb26 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 … rod stewart at the royal albert hallWebOn the Blaschke-Santal6 inequality By MATHIEU MEYER and ALAIN PAJOR 1. Introduction. Let K be a convex body in the n-dimensional Euclidean space E (= En). For … rod stewart baby jane year