The orlicz-petty bodies
WebbThe 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 … WebbFor a measure μ on ℝ n with density that has a positive degree of homogeneous and a positive degree of concavity, we study the Orlicz–Minkowski problem for such general measure μ and show the existence of the even Orlicz–Minkowski problem for μ.We also introduce the general Orlicz geominimal μ-measures and show the existence of the …
The orlicz-petty bodies
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Webb基本情况2014年6月毕业于西南大学数学与统计学院，获理学博士学位。2014.6-2024.7：湖北民族大学，讲师、副教授、特聘教授；2015.9-2024.8：加拿大大西洋数学研究协会（aarms）博士后；2024.5-2024.5：加拿大纽芬兰纪念大学，数学与统计学院，客座教授；2024.7--至 今：陕西师范大学，数学与统计学院，教授。 WebbThis thesis deals with the polar Orlicz-Minkowski problems and the p-capacitary Orlicz-Petty bodies. The polar Orlicz-Minkowski problems are introduced and the solvability of such problems is discussed under di erent conditions. In particular, under certain condition on ’;the existence of a solution is proved for a nonzero -
http://files.ele-math.com/abstracts/jmi-15-29-abs.pdf WebbIn this paper, the classical dual mixed volume of star bodies V˜(K1,⋯,Kn) and dual Aleksandrov–Fenchel inequality are extended to the Orlicz space. Under the framework of dual Orlicz-Brunn-Minkowski theory, we put forward a new affine geometric quantity by calculating first order Orlicz variation of the dual mixed volume, and call it Orlicz multiple …
WebbSemantic Scholar extracted view of "The (φ,ψ) Orlicz mixed Petty bodies" by Zengle Zhang. Skip to search form Skip to main content Skip to account menu. Semantic Scholar's … WebbBlaschke-Santal´o inequality that connects the volume of an origin-symmetric convex body K with the volume of the polar body Γ∗ 2 K of the L2 centroid body of K is established. Mathematics subject classification (2010): 52A20, 52A40. Keywords and phrases: Star body, centroid body, affine isoperimetric inequality, reverse Blaschke-Santal ...
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mountain and sunset imagesWebb17 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. … healy downloadWebbFör 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… mountain and river map of indiaWebb14 nov. 2016 · This paper is dedicated to the Orlicz-Petty bodies. We first propose the homogeneous Orlicz affine and geominimal surface areas, and establish their basic … mountain and sunrise imagesWebb1 juli 2024 · Based on the L p -harmonic radial combination, Li and Wang researched the asymmetric L p -harmonic radial bodies, which belong to the asymmetric L p -Brunn-Minkowski theory initiated by Ludwig, Haberl and Schuster. In this paper, combined with Orlicz radial combination, we introduce the asymmetric Orlicz radial bodies and … mountain and treeline svgWebb15 jan. 2010 · Abstract. Minkowski's projection bodies have evolved into L p projection bodies and their asymmetric analogs. These all turn out to be part of a far larger class of … mountain and treeWebbThe 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 geominimal healy ear clips