The orlicz-petty bodies
WebbLuo, D. Ye and B. Zhu , On the polar Orlicz–Minkowski problems and the p-capacitary Orlicz–Petty bodies, Indiana Univ. Math. J. 69 (2024) 385–420. Google Scholar; 30. E. Lutwak , The Brunn–Minkowski–Firey theory I: Mixed … 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]...
The orlicz-petty bodies
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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 … 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. …
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, … Webb20 juli 2024 · The Petty body and its L p extensions for p > 1 were used to study the continuity of the classical geominimal surface area and its L p counterparts [28, 37]. To …
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 … WebbThis thesis is dedicated to study Orlicz-Petty bodies, the p-capacitary Orlicz-Brunn-Minkowski theory and the general p-a ne capacity as well as isocapacitary inequalities. In the second chapter, the homogeneous Orlicz a ne and geominimal surface areas are de ned and their basic properties are established including homogeneity, a ne
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Webb18 okt. 2024 · The Orlicz–Lorentz Busemann–Petty centroid inequality for convex bodies was recently established by Nguyen (Advances in Applied Mathematics 92:99–121, … great value herbal teaWebbWe first propose the homogeneous Orlicz affine and geominimal surface areas, and establish their basic... Skip to main content. Due to a planned power outage on Friday, … great value heavy duty oven cleaner sdsWebb14 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 … florida city gas/rebatesWebbThe 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 … great value hazelnut coffee podsWebb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。 great value heavy whipping cream nutritionWebbIn 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 … florida city informally crossword clueWebb12 jan. 2024 · Polytopal solutions and/or counterexamples to the general dual-polar Orlicz–Minkowski problem for discrete measures are also provided. Several variations … florida city gas melbourne fl phone number