Sharp inequalities related to the functional Uj and some applications

被引：0
|
作者：
Li, Ai-Jun [1 ]
Zhang, Si-Tao [1 ]
机构：
[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China
来源：
GEOMETRIAE DEDICATA | 2021年 / 213卷 / 01期
关键词：
The parameterized functional U-j; Isotropic measure; Cone-volume measure; Schneider's projection problem; CONE-VOLUME MEASURE; MINKOWSKI-FIREY THEORY; AFFINE; INVARIANT;
D O I：
10.1007/s10711-020-00573-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Sharp inequalities of the parameterized functional U-j for Borel measures on the unit sphere in R-n are established. As two applications, some inequalities related to cone-volume measures and Schneider's projection problem are obtained.
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页码：173 / 190
页数：18
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