Some Brunn-Minkowski Type Inequalities for the (p,q)-Mixed Volumes

被引：0

作者：

ZHANG Juan ^{[1
]}

WANG Weidong ^{[1
,2
]}

机构：

[1] Department of Mathematics, China Three Gorges University

[2] Three Gorges Mathematical Research Center, China Three Gorges University

来源：

WuhanUniversityJournalofNaturalSciences | 2020年 / 25卷 / 04期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.19823/j.cnki.1007-1202.2020.0037

中图分类号：

O178 [不等式及其他];

学科分类号：

0701 ; 070101 ;

摘要：

Lutwak, Yang and Zhang defined the(p, q)-mixed volumes very recently. In this paper, some Brunn-Minkowski type inequalities on the(p, q)-mixed volumes are established based on the general L-projection bodies and the general L-centroid bodies.

引用

页码：286 / 292

页数：7

共 50 条

[1] CYCLIC BRUNN-MINKOWSKI INEQUALITIES FOR DUAL MIXED VOLUMES
Yu, Linmei
Zhang, Yuanyuan
Wang, Weidong
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2020, 50 (06) : 2245 - 2255
[2] Isoperimetric and Brunn-Minkowski inequalities for the (p, q)-mixed geominimal surface areas
Zhang, Juan
Wang, Weidong
Zhao, Peibiao
OPEN MATHEMATICS, 2022, 20 (01): : 117 - 124
[3] A Characterization of Some Mixed Volumes via the Brunn-Minkowski Inequality
Colesanti, Andrea
Hug, Daniel
Gomez, Eugenia Saorin
JOURNAL OF GEOMETRIC ANALYSIS, 2014, 24 (02) : 1064 - 1091
[4] CAPACITARY INEQUALITIES OF THE BRUNN-MINKOWSKI TYPE
BORELL, C
MATHEMATISCHE ANNALEN, 1983, 263 (02) : 179 - 184
[5] On the stability of Brunn-Minkowski type inequalities
Colesanti, Andrea
Livshyts, Galyna V.
Marsiglietti, Arnaud
JOURNAL OF FUNCTIONAL ANALYSIS, 2017, 273 (03) : 1120 - 1139
[6] Some Brunn-Minkowski type inequalities for radial Blaschke-Minkowski homomorphisms
Zhou, Ying
Wang, Weidong
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
[7] On discrete Brunn-Minkowski and isoperimetric type inequalities
Iglesias, David
Lucas, Eduardo
Yepes Nicolas, Jesus
DISCRETE MATHEMATICS, 2022, 345 (01)
[8] On discrete Lp Brunn-Minkowski type inequalities
Hernandez Cifre, Maria A.
Lucas, Eduardo
Yepes Nicolas, Jesus
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2022, 116 (04)
[9] L p Brunn-Minkowski type inequalities for Blaschke-Minkowski homomorphisms
Wang, Wei
GEOMETRIAE DEDICATA, 2013, 164 (01) : 273 - 285
[10] On dual Brunn-Minkowski inequalities
Zhao, CJ
Pecaric, J
Leng, GS
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2005, 8 (02): : 357 - 363

← 1 2 3 4 5 →