A FUNCTIONAL ORLICZ BUSEMANN-PETTY CENTROID INEQUALITY FOR LOG-CONCAVE FUNCTIONS

doi:10.1007/s10473-025-0105-y

数学物理学报(英文版) ›› 2025, Vol. 45 ›› Issue (1): 52-71.doi: 10.1007/s10473-025-0105-y

A FUNCTIONAL ORLICZ BUSEMANN-PETTY CENTROID INEQUALITY FOR LOG-CONCAVE FUNCTIONS

Xiao Li¹, Jiazu Zhou^2,*

1. School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China;
2. School of Mathematics and Big Data, Guizhou Education University, Guiyang 550018, China

收稿日期:2024-08-01 出版日期:2025-02-06 发布日期:2025-02-06
通讯作者: *Jiazu Zhou, E-mail,: zhoujz@gznc.edu.cn; zhoujz@swu.edu.cn
作者简介:Xiao Li, E-mail,: lxlixiaolx@163.com
基金资助:
NSFC(12071378, 12461009),20XLB012, KJQN202100527, CSTB2022NSCQ-MSX0259 and KJQN202300557.

A FUNCTIONAL ORLICZ BUSEMANN-PETTY CENTROID INEQUALITY FOR LOG-CONCAVE FUNCTIONS

Xiao Li¹, Jiazu Zhou^2,*

1. School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China;
2. School of Mathematics and Big Data, Guizhou Education University, Guiyang 550018, China

Received:2024-08-01 Online:2025-02-06 Published:2025-02-06
Contact: *Jiazu Zhou, E-mail,: zhoujz@gznc.edu.cn; zhoujz@swu.edu.cn
About author:Xiao Li, E-mail,: lxlixiaolx@163.com
Supported by:
NSFC(12071378, 12461009),20XLB012, KJQN202100527, CSTB2022NSCQ-MSX0259 and KJQN202300557.

摘要/Abstract

摘要： In this paper, the Orlicz centroid function for log-concave functions is introduced. A rearrangement inequality of the Orlicz centroid function for log-concave functions is obtained. The rearrangement inequality implies the Orlicz Busemann-Petty centroid inequality of Lutwak, Yang and Zhang [23].

关键词: centroid bodies, Busemann-Petty centroid inequality, log-concave functions, Steiner symmetrization

Abstract: In this paper, the Orlicz centroid function for log-concave functions is introduced. A rearrangement inequality of the Orlicz centroid function for log-concave functions is obtained. The rearrangement inequality implies the Orlicz Busemann-Petty centroid inequality of Lutwak, Yang and Zhang [23].

Key words: centroid bodies, Busemann-Petty centroid inequality, log-concave functions, Steiner symmetrization

中图分类号:

52A40

Xiao Li, Jiazu Zhou. A FUNCTIONAL ORLICZ BUSEMANN-PETTY CENTROID INEQUALITY FOR LOG-CONCAVE FUNCTIONS[J]. 数学物理学报(英文版), 2025, 45(1): 52-71.

Xiao Li, Jiazu Zhou. A FUNCTIONAL ORLICZ BUSEMANN-PETTY CENTROID INEQUALITY FOR LOG-CONCAVE FUNCTIONS[J]. Acta mathematica scientia,Series B, 2025, 45(1): 52-71.

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A FUNCTIONAL ORLICZ BUSEMANN-PETTY CENTROID INEQUALITY FOR LOG-CONCAVE FUNCTIONS

A FUNCTIONAL ORLICZ BUSEMANN-PETTY CENTROID INEQUALITY FOR LOG-CONCAVE FUNCTIONS

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