{"title":"Covering functionals of Minkowski sums and direct sums of convex bodies","authors":"Senlin Wu, Baofang Fan, Chan He","doi":"10.7153/mia-2020-23-88","DOIUrl":null,"url":null,"abstract":"We prove a series of inequalities concerning covering functionals of convex bodies having the form K +L , where K is a convex body and L is a segment. Several estimations of covering functionals of direct sums of convex bodies are also presented. Mathematics subject classification (2010): 52C17, 52A20.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":"1145-1154"},"PeriodicalIF":0.9000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Inequalities & Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/mia-2020-23-88","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
We prove a series of inequalities concerning covering functionals of convex bodies having the form K +L , where K is a convex body and L is a segment. Several estimations of covering functionals of direct sums of convex bodies are also presented. Mathematics subject classification (2010): 52C17, 52A20.
期刊介绍：
''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
