On the blaschke-santal ́o inequality

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August undefined, 2024

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) 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 …

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WebGlances at the Insane in Other Lands: V.-The New Brunswick Asylum, St. John. 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 … chrome pc antigo

A sharp Blaschke{Santal o inequality for -concave functions

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. Webwidth 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 WebSemantic Scholar extracted view of "Asymmetric Blaschke-Santaló functional inequalities" by J. Haddad et al. Skip to search form Skip to main content Skip to ... {Asymmetric Blaschke-Santal{\'o} functional inequalities}, author={Juli{\'a}n Haddad and Carlos Hugo Jim{\'e}nez and Marcos Montenegro}, journal={Journal of Functional ... chrome pdf 转图片

On the sine polarity and the Lp-sine Blaschke-Santaló inequality

On the Blaschke-Santaló inequality - University of Paris-Est Marne …

WebSuch a result is called the Lp-Blaschke-Santal¶o inequality. This name comes from the fact that, when K is origin symmetric and p goes to inﬂnity, (4) tends to the volume product. We shall deal with the problem of obtaining reverse form of the Lp-Blaschke-Santal¶o inequality and we solve it, for d = 2, by exploiting Theorem 1. 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 ... chromepatch adwareWeb15 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 … chrome pc indir

"Web28 de mar. de 2024 · Key words and phr ases: Moment–Entropy inequalities, Blaschke–Santal´ o inequality, ... (1.1) contain an important extension of the Blaschk e-Santal´ o inequality (one of the. " - On the blaschke-santal ́o inequality

On the blaschke-santal ́o inequality

ON THE FUNCTIONAL BLASCHKE-SANTAL´O INEQUALITY

Webintroduced notions, the equality conditions of the sine Blaschke-Santal´o inequality are settled. 2024 Mathematics Subject Classification: 52A20, 52A30, 52A40, 94A15. 1 Introduction WebHenry M. Paulson, Jr. served under President George W. Bush as the 74th Secretary of the Treasury from June 2006 until January 2009. Before coming to Treasury, Paulson was …

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Web1 de jan. de 2009 · Abstract. We give a simple proof of a functional version of the Blaschke–Santaló inequality due to Artstein, Klartag and Milman. The proof is by induction on the dimension and does not use the Blaschke–Santaló inequality. To cite this article: J. Lehec, C. R. Acad. Sci. Paris, Ser. I 347 (2009). Web19 de dez. de 2006 · We establish new functional versions of the Blaschke–Santaló inequality on the volume product of a convex body which generalize to the non …

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}, … 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 …

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 WebSome functional forms of Blaschke–Santaló inequality 381 Theorem Let ρ: R+ → R+ be a log-concave non-increasing function and let φ be a convex function such that 0 < Rn ρ(φ(x))dx < +∞.Then for some z ∈ Rn, one has R n ρ(φ(x))dx R ρ(Lzφ(y))dy ≤ Rn ρ x 2 2 dx 2. In all these functional forms of Blaschke–Santaló inequality, we determine the

Web1 de dez. de 2013 · The Blaschke-Santal\'o Inequality is the assertion that the volume product of a centrally symmetric convex body in Euclidean space is maximized by (and …

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 chrome password インポートWebObserve that it follows from the Blaschke-Santal´o inequality that the Santalo-point x 0 ∈ S(K,1) and that S(K,1) = {x 0} if and only if K is an ellipsoid. Thus S(K,t) has non-empty interior for some t<1 if and only if K is not an ellipsoid. In the ﬁrst part of this paper we show some properties of S(K,t) and give chrome para windows 8.1 64 bitsWebOn 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: chrome password vulnerability chrome pdf reader downloadWebKeywords Blaschke-Santalo inequality convexity -concavity log-concavity Mathematics Subject Classi cation (2010) 52A40 26B25 1 Blaschke{Santal o type inequalities We begin by recalling the classic Blaschke-Santal o inequality. A convex body in Rn is compact, convex set with non-empty interior. Such a convex body Kis called symmetric if K= K. chrome pdf dark modeWeb15 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 p-sine centroid body Λ p K for a star body K ⊂ R n is a convex body based on the L p-sine transform, and its associated Blaschke-Santaló inequality provides an upper bound for … chrome park apartmentsWebAsharp upper boundforthe volume product is givenby the Blaschke-Santal´o Inequality. Theorem (TheBlaschke-Santal´oInequality). Let Bdenote the Euclidean unit ball of R N. … chrome payment settings