{"title":"Some Inequalities about the General Lp-Mixed Width-Integral of Convex Bodies","authors":"J. Ma, Wenjing Yang, Yanping Zhou","doi":"10.1051/wujns/2022274281","DOIUrl":null,"url":null,"abstract":"The Brunn-Minkowski type and the cyclic Brunn-Minkowski type inequalities for the i-th general Lp-mixed width-integral of convex bodies are established. Further, two cyclic inequalities for the differences of i-th general Lp-mixed width-integral of convex bodies are obtained.","PeriodicalId":23976,"journal":{"name":"Wuhan University Journal of Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Wuhan University Journal of Natural Sciences","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.1051/wujns/2022274281","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Multidisciplinary","Score":null,"Total":0}
引用次数: 0
Abstract
The Brunn-Minkowski type and the cyclic Brunn-Minkowski type inequalities for the i-th general Lp-mixed width-integral of convex bodies are established. Further, two cyclic inequalities for the differences of i-th general Lp-mixed width-integral of convex bodies are obtained.
期刊介绍:
Wuhan University Journal of Natural Sciences aims to promote rapid communication and exchange between the World and Wuhan University, as well as other Chinese universities and academic institutions. It mainly reflects the latest advances being made in many disciplines of scientific research in Chinese universities and academic institutions. The journal also publishes papers presented at conferences in China and abroad. The multi-disciplinary nature of Wuhan University Journal of Natural Sciences is apparent in the wide range of articles from leading Chinese scholars. This journal also aims to introduce Chinese academic achievements to the world community, by demonstrating the significance of Chinese scientific investigations.