On the blaschke-santal ́o inequality

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August undefined, 2024

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 … 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

(PDF) A complete 3-dimensional Blaschke-Santaló diagram

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 WebGlances at the Insane in Other Lands: V.-The New Brunswick Asylum, St. John. can a bathroom vanity be painted

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

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 ... WebThe functional Blaschke-Santalo inequality of log-concave functions is the analogue of Blaschke-Santal´o inequality of convex bodies. Theorem 1.1. (Artstein, Klartag, … http://web.math.unifi.it/users/pgronchi/Volumeproduct.pdf can a bathroom sink be painted

Some functional forms of Blaschke–Santaló inequality

A Fourier analytic proof of the Blaschke-Santaló Inequality

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. can a bathroom be next to a kitchenWebevery 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. can a baton break bones

"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: " - On the blaschke-santal ́o inequality

On the blaschke-santal ́o inequality

A sharp Blaschke{Santal o inequality for -concave functions

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 … 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 …

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Webintroduced notions, the equality conditions of the sine Blaschke-Santal´o inequality are settled. 2024 Mathematics Subject Classification: 52A20, 52A30, 52A40, 94A15. 1 Introduction 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 …

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. 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}, …

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 ... 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 …

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 …

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) fishbonz torranceWeb11:00-11:20 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 can a bath relieve stressWebBlaschke{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 ... fish book 4 principlesWebSuch 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. can a bathtub be refurbishedWebOn 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 … can a bathtub fit through a doorWeb15 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 … can a batsman abuse umpire cricketWeb20 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 … can a batsman take 4 runs by running