The orlicz-petty bodies

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August undefined, 2024

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. WebbThe Orlicz-Petty bodies 111Keywords: affine isoperimetric inequalities, affine surface area, geominimal surface area, Orlicz-Brunn-Minkowski theory, Orlicz mixed volume, Petty …

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Webb14 apr. 2024 · Inside the chaotic world of Chanel’s Karl Lagerfeld who loved models but snubbed Claudia Schiffer for very petty reason Roderick McPhee Published : 22:57, 14 Apr 2024 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 … compulsory overtime

The Orlicz-Petty bodies Papers With Code

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 … http://files.ele-math.com/abstracts/jmi-15-29-abs.pdf 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 … echo show requirements

Towards the Orlicz-Brunn-Minkowski theory for geominimal surface …

The General Dual-Polar Orlicz–Minkowski Problem SpringerLink

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 … Webb2 aug. 2024 · T here’s plenty of nasty late summer fun to be had in A24’s of-the-moment slasher Bodies Bodies Bodies, a mix of gore and guffaws that aims to deliver the same poppy jolt that Scream did back ... echo show reolinkWebb18 okt. 2024 · The Orlicz–Lorentz Busemann–Petty centroid inequality for convex bodies was recently established by Nguyen (Advances in Applied Mathematics 92:99–121, … compulsory pa cover

"Webb15 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 … " - The orlicz-petty bodies

The orlicz-petty bodies

Lp centroid bodies with respect to weights x ℓ - ScienceDirect

Webb1 mars 2024 · The original goal of this paper is to extend the affine isoperimetric inequality and Steiner type inequality of Orlicz projection bodies (which originated to Lutwak, Yang, … WebbThe Orlicz-Petty Bodies. Int. Math. Res. Not. IMRN, 2024 (14) (2024) 4356-4403. Home About People Education Calendar Activities Research Jobs Contact Tel：+86-10-62773561 Mail：[email protected]...

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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 ... 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 - Webbther the Orlicz Petty projection inequality nor the Orlicz Busemann-Petty centroid inequality appears to lead to the other in some manner discernable to the authors. …

http://maths.snnu.edu.cn/info/1020/5225.htm Webb1 feb. 2024 · This paper is dedicated to the Orlicz-Petty bodies. We first propose the homogeneous Orlicz affine and geominimal surface areas, and establish their basic …

Webb17 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. …

Webb12 feb. 2016 · The $L_{p}$-geominimal surface area was introduced by Lutwak in 1996, which extended the important concept of the geominimal surface area.Recently, Wang and Qi defined the p-dual geominimal surface area, which belongs to the dual Brunn-Minkowski theory.In this paper, based on the concept of the dual Orlicz mixed volume, we extend … echo show remote cameraWebbThis paper is dedicated to the Orlicz-Petty bodies. We first propose the homogeneous Orlicz affine and geominimal surface areas, and establish their basic properties such as … compulsory overtime workWebbThe 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 echo show reset device