{"title":"On the polar dualities and star dualities of the quasi Lp\n -intersection bodies","authors":"Yanping Zhou, Weidong Wang","doi":"10.1515/gmj-2024-2019","DOIUrl":null,"url":null,"abstract":"\n <jats:p>Yu, Wu and Leng defined the quasi <jats:inline-formula id=\"j_gmj-2024-2019_ineq_9999\">\n <jats:alternatives>\n <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\n <m:msub>\n <m:mi>L</m:mi>\n <m:mi>p</m:mi>\n </m:msub>\n </m:math>\n <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_gmj-2024-2019_eq_0094.png\" />\n <jats:tex-math>{L_{p}}</jats:tex-math>\n </jats:alternatives>\n </jats:inline-formula>-intersection bodies.\nIn this paper, we consider the polar dualities and star dualities of quasi <jats:inline-formula id=\"j_gmj-2024-2019_ineq_9998\">\n <jats:alternatives>\n <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\n <m:msub>\n <m:mi>L</m:mi>\n <m:mi>p</m:mi>\n </m:msub>\n </m:math>\n <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_gmj-2024-2019_eq_0094.png\" />\n <jats:tex-math>{L_{p}}</jats:tex-math>\n </jats:alternatives>\n </jats:inline-formula>-intersection bodies and establish some related inequalities.</jats:p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/gmj-2024-2019","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Yu, Wu and Leng defined the quasi Lp{L_{p}}-intersection bodies.
In this paper, we consider the polar dualities and star dualities of quasi Lp{L_{p}}-intersection bodies and establish some related inequalities.