On the blaschke-santal ́o inequality

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Web20 de set. 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 … 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

Some functional forms of Blaschke-Santal´o inequality

WebOne is the stability version of the Blaschke-Santaló inequality, and the other is a stability version of the Prékopa-Leindler inequality for even functions in higher dimensions, where a recent ... 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 hover when clicked

On a generalised Blaschke-Santal\`o inequality - Semantic Scholar

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 … 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 … 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. hover wheels cheap

[1312.0244] The Blaschke-Santalo Inequality - arXiv.org

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

WebAsharp upper boundforthe volume product is givenby the Blaschke-Santal´o Inequality. Theorem (TheBlaschke-Santal´oInequality). Let Bdenote the Euclidean unit ball of R N. … 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 … h overwhelmWebintroduced notions, the equality conditions of the sine Blaschke-Santal´o inequality are settled. 2024 Mathematics Subject Classification: 52A20, 52A30, 52A40, 94A15. 1 Introduction hover wireless speaker

"Web15 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 … " - On the blaschke-santal ́o inequality

On the blaschke-santal ́o inequality

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

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 … WebKeywords 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.

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Web23 de set. de 2013 · A complete 3-dimensional Blaschke-Santal ... The proof of Proposition 4.2 shows that it would be desirable to extend inequality (4.1) to higher dimensions. 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

Web7 de ago. de 2024 · In this paper, we establish a generalised Blaschke-Santaló inequality for convex bodies in R. This inequality gives an upper bound estimate for the product of … 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 …

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 ... WebAs 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 …

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

WebEnjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube. hover webmail log inWeb11:00-11:20 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 hover wind turbineWeb15 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 … hoverwing priceWebSemantic 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 ... hover with javascriptWebSemantic 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}, … hover wireless chargerWeb1 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). how many grams is in a lbWeb16 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 hover wisp