The orlicz-petty bodies
Webb12 jan. 2024 · Polytopal solutions and/or counterexamples to the general dual-polar Orlicz–Minkowski problem for discrete measures are also provided. Several variations …
The orlicz-petty bodies
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WebbThe homogeneous (φ, ψ) Orlicz mixed Petty body is defined as follows. Definition 4.2. Let K, Q ∈ K o n, φ ∈ Φ ˆ 1 and ψ (t 1 n) be convex. A convex body M is said to be the … WebbThe Orlicz-Petty bodies 111Keywords: affine isoperimetric inequalities, affine surface area, geominimal surface area, Orlicz-Brunn-Minkowski theory, Orlicz mixed volume, Petty …
Webb1 jan. 2015 · We find the conditions to the existence of the general dual Orlicz-Petty body and hence prove the continuity of the general geominimal surface area in the Orlicz … WebbA decade ago, the Lp L p analogue of the classical Busemann- Petty centroid inequality was proved. Here, the definition of the centroid body is extended to an Orlicz centroid body of a star body, and the corresponding analogue of the Busemann-Petty centroid inequality is established for convex bodies. Citation Download Citation Erwin Lutwak.
Webb2024-06-11 14:00-16:00 Room 1568, Sciences Building No. 1 Abstract: We willtalk about the polar Orlicz-Minkowski problems: under what conditions on anonzero finite measure $\mu$ and a continuous function $\phi$ there exists aconvex body K as an optimizer of a specific optimization problem. Thesolvability of the polar Orlicz-Minkowski problems is … WebbFör 1 dag sedan · The Lp (where 1≤p≤∞) centroid bodies with respect to weights that are powers of the distance to the origin (i.e., x ℓ with ℓ>−n) and their associated…
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Webb14 nov. 2016 · This paper is dedicated to the Orlicz-Petty bodies. homogeneous Orlicz affine and geominimal surface areas, and establish their basic properties such as homogeneity, affine invariance and affine isoperimetric inequalities. We also prove that the homogeneous geominimal surface areas are continuous, under certain conditions, on … raymond urgent careWebb21 feb. 2024 · of this paper deals with the p-capacitary Orlicz-Petty bodies. In particular, the existence of the p -capacitary Orlicz-Petty bo dies is established and the continuity … simplify in algebra meaningWebbThe Orlicz-Petty bodies Baocheng Zhu, Han Hong and Deping Ye Abstract This paper is dedicated to the Orlicz-Petty bodies. We rst propose the homogeneous Orlicz a ne and … raymond unwin hampstead garden suburbWebb17 jan. 2024 · Let K be an origin-symmetric convex body in Euclidean n-space, \(\mathbb{R}^{n}\), the centroid body of K is the body whose boundary consists of the locus of the centroids of the halves of K formed when K is cut by codimension 1 subspaces. The concept of centroid body plays an important role in convex geometry. … raymond uscinski bradford paWebbOrlicz Petty projection body, graph functions. 1 Introduction The classical isoperimetric inequality is formulated by S(K) n!1=n n jKj ... However, the Orlicz Petty projection inequality were merely studied for convex bodies until now. Technically, to extend de nition (1.3), we need that the normal K needs to be well-de ned, and the quantity x raymond used carsWebb开馆时间：周一至周日7:00-22:30 周五 7:00-12:00; 我的图书馆 simplify in a sentenceWebb5 dec. 2024 · As an important part of the theory, the Orlicz Brunn-Minkowski inequality has been very popular with scholars in related fields. At first, the Orlicz Busemann-Petty centroid inequality[10]was introduced as a new proof by Li and Leng[12]in 2010 and the Orlicz Petty projection inequality were established by Lutwak et al[11]. simplify index expressions calculator