An asymmetric Orlicz centroid inequality for probability measures

被引：0

作者：

HUANG QingZhong ^{[1
]}

HE BinWu ^{[1
]}

机构：

[1] Department of Mathematics,Shanghai University

来源：

ScienceChina(Mathematics) | 2014年 / 57卷 / 06期

基金：

中国国家自然科学基金;

关键词：

M-addition; Orlicz centroid inequality; asymmetric Orlicz centroid bodies; asymmetric Lp centroid bodies;

D O I：

暂无

中图分类号：

O18 [几何、拓扑];

学科分类号：

0701 ; 070101 ;

摘要：

Using M-addition,an asymmetric Orlicz centroid inequality for absolutely continuous probability measures is established corresponding to Paouris and Pivovarov’s recent result on the symmetric case.As an application,we extend Haberl and Schuster’s asymmetric Lp centroid inequality from star bodies to compact sets.

引用

页码：1193 / 1202

页数：10

共 50 条

[21] THE ORLICZ AFFINE ISOPERIMETRIC INEQUALITY
Chen, Fangwei
Yang, Congli
Zhou, Jiazu
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, 17 (03): : 1079 - 1089
[22] Asymmetric Change-of-Probability Measures for Tail Risk Management
Enayati, Saeede
Pishro-Nik, Hossein
SYSCON 2022: THE 16TH ANNUAL IEEE INTERNATIONAL SYSTEMS CONFERENCE (SYSCON), 2022,
[23] A SHARP PARTITIONING-INEQUALITY FOR NONATOMIC PROBABILITY-MEASURES BASED ON THE MASS OF THE INFIMUM OF THE MEASURES
HILL, TP
PROBABILITY THEORY AND RELATED FIELDS, 1987, 75 (01) : 143 - 147
[24] AN INEQUALITY FOR THE PERIMETER OF THE CENTROID BODY IN THE PLANE
Guerrero-Zarazua, Zamantha
Jeronimo-Castro, Jesus
Jimenez-Lopez, Francisco G.
Velasco-Garcia, Ulises
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2021, 24 (03): : 587 - 596
[25] Another Incenter-Centroid Inequality
Fera, Giuseppe
AMERICAN MATHEMATICAL MONTHLY, 2022, 129 (07): : 687 - 687
[26] Asymmetric Orlicz Radial Bodies
Li, Hai
Wang, Weidong
Ma, Tongyi
MATHEMATICS, 2019, 7 (07)
[27] Sylvester–Busemann Type Functionals with Respect to Orlicz Centroid Bodies
Denghui Wu
Peilin Guo
Zhen-Hui Bu
The Journal of Geometric Analysis, 2023, 33
[28] Orlicz-Aleksandrov-Fenchel Inequality or Orlicz Multiple Mixed Volumes
Zhao, Chang-Jian
JOURNAL OF FUNCTION SPACES, 2018, 2018
[29] HARDY INEQUALITY FOR ORLICZ LUXEMBOURG NORMS
LOVE, ER
ACTA MATHEMATICA HUNGARICA, 1990, 56 (3-4) : 247 - 253
[30] ORLICZ DUAL LOGARITHMIC MINKOWKI INEQUALITY
Zhao, Chang-Jian
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2021, 24 (04): : 1031 - 1032

← 1 2 3 4 5 →