General mixed width-integral of convex bodies

被引：3
作者：
Feng, Yibin [1 ]
机构：
[1] Hexi Univ, Sch Math & Stat, Zhangye 734000, Peoples R China
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 06期
关键词：
General mixed width-integral; mixed width-integral; general width-integral of order i; INEQUALITIES;
D O I：
10.22436/jnsa.009.06.64
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we introduce a new concept of general mixed width-integral of convex bodies, and establish some of its inequalities, such as isoperimetric inequality, Aleksandrov-Fenchel inequality, and cyclic inequality. We also consider the general width-integral of order i and show its related properties and inequalities. (C) 2016 All rights reserved.
引用
收藏
页码：4226 / 4234
页数：9
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