{"title":"关于准 Lp 交点体的极对偶性和星对偶性","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":"{\"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}","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
摘要
Yu、Wu 和 Leng 定义了准 L p {L_{p}} 交点体。 -本文考虑了准 L p {L_{p}} 交点体的极对偶性和星对偶性,并建立了一些相关的不等式。 -本文考虑了准 L p {L_{p}} 交点体的极对偶性和星对偶性,并建立了一些相关的不等式。
On the polar dualities and star dualities of the quasi Lp
-intersection bodies
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.