{"title":"$L_p$ -Busemann-Petty质心不等式的$q$- quermass积分形式","authors":"Hui Xue, Weidong Wang","doi":"10.4064/ap221124-29-5","DOIUrl":null,"url":null,"abstract":"Lutwak, Yang and Zhang established the $L_p$-Busemann–Petty centroid inequality. We establish the $q$-quermassintegral forms of the $L_p$-Busemann–Petty centroid inequality for convex bodies. As special cases, we obtain the quermassintegral and harmonic q","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"$q$-Quermassintegral forms of the $L_p$-Busemann–Petty centroid inequality\",\"authors\":\"Hui Xue, Weidong Wang\",\"doi\":\"10.4064/ap221124-29-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Lutwak, Yang and Zhang established the $L_p$-Busemann–Petty centroid inequality. We establish the $q$-quermassintegral forms of the $L_p$-Busemann–Petty centroid inequality for convex bodies. As special cases, we obtain the quermassintegral and harmonic q\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4064/ap221124-29-5\",\"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":"1085","ListUrlMain":"https://doi.org/10.4064/ap221124-29-5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
$q$-Quermassintegral forms of the $L_p$-Busemann–Petty centroid inequality
Lutwak, Yang and Zhang established the $L_p$-Busemann–Petty centroid inequality. We establish the $q$-quermassintegral forms of the $L_p$-Busemann–Petty centroid inequality for convex bodies. As special cases, we obtain the quermassintegral and harmonic q
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