A new approach to the Orlicz Brunn-Minkowski inequality

被引：5

作者：

Feng, Yibin ^{[1
]}

He, Binwu ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

ADVANCES IN APPLIED MATHEMATICS | 2019年 / 107卷

基金：

中国国家自然科学基金;

关键词：

Orlicz addition; Orlicz Brunn-Minkowski inequality; Shadow system; FIREY THEORY;

D O I：

10.1016/j.aam.2019.03.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a new approach to the recently established Orlicz Brunn-Minkowski inequality which is due to Xi, Jin and Leng and is stronger than the classical and L-p Brunn-Minkowski inequalities. Our approach is based on the shadow system and does not rely on the Steiner symmetrization. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：144 / 156

页数：13

共 13 条

[1] The Lp-Busemann-Petty centroid inequality [J].

Campi, S ;

Gronchi, P .

ADVANCES IN MATHEMATICS, 2002, 167 (01) :128-141

[2]

Firey WJ, 1962, MATH SCAND, V10, P17

[3]

Gardner R., 2006, Geometric Tomography

[4]

Gardner RJ, 2014, J DIFFER GEOM, V97, P427

[5] The Brunn-Minkowski inequality [J].

Gardner, RJ .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 39 (03) :355-405

[6] The Brunn-Minkowski-Firey theory .2. Affine and geominimal surface areas [J].

Lutwak, E .

ADVANCES IN MATHEMATICS, 1996, 118 (02) :244-294

[7]

LUTWAK E, 1993, J DIFFER GEOM, V38, P131

[8]

Lutwak E, 2010, J DIFFER GEOM, V84, P365

[9] Orlicz projection bodies [J].

Lutwak, Erwin ;

Yang, Deane ;

Zhang, Gaoyong .

ADVANCES IN MATHEMATICS, 2010, 223 (01) :220-242

[10]

Rogers CA., 1958, Mathematika, V5, P93, DOI [10.1112/S0025579300001418, DOI 10.1112/S0025579300001418]

← 1 2 →