{"title":"极性低质心体的对偶型quermass积分不等式","authors":"Weidong Wang","doi":"10.1216/rmj.2023.53.1635","DOIUrl":null,"url":null,"abstract":"Lutwak and Zhang introduced Lp-centroid bodies and established the Lp-centro-affine inequality. Thereafter, Lutwak, Yang and Zhang established the Lp-Busemann–Petty centroid inequality. In this paper, we give the inequalities of dual quermassintegrals, dual affine quermassintegrals and dual harmonic quermassintegrals for polar Lp-centroid bodies.","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":"89 1","pages":"0"},"PeriodicalIF":0.7000,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"DUAL TYPE QUERMASSINTEGRAL INEQUALITIES FOR POLAR Lp-CENTROID BODIES\",\"authors\":\"Weidong Wang\",\"doi\":\"10.1216/rmj.2023.53.1635\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Lutwak and Zhang introduced Lp-centroid bodies and established the Lp-centro-affine inequality. Thereafter, Lutwak, Yang and Zhang established the Lp-Busemann–Petty centroid inequality. In this paper, we give the inequalities of dual quermassintegrals, dual affine quermassintegrals and dual harmonic quermassintegrals for polar Lp-centroid bodies.\",\"PeriodicalId\":49591,\"journal\":{\"name\":\"Rocky Mountain Journal of Mathematics\",\"volume\":\"89 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2023-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Rocky Mountain Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1216/rmj.2023.53.1635\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Rocky Mountain Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1216/rmj.2023.53.1635","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
DUAL TYPE QUERMASSINTEGRAL INEQUALITIES FOR POLAR Lp-CENTROID BODIES
Lutwak and Zhang introduced Lp-centroid bodies and established the Lp-centro-affine inequality. Thereafter, Lutwak, Yang and Zhang established the Lp-Busemann–Petty centroid inequality. In this paper, we give the inequalities of dual quermassintegrals, dual affine quermassintegrals and dual harmonic quermassintegrals for polar Lp-centroid bodies.
期刊介绍：
Rocky Mountain Journal of Mathematics publishes both research and expository articles in mathematics, and particularly invites well-written survey articles.
The Rocky Mountain Journal of Mathematics endeavors to publish significant research papers and substantial expository/survey papers in a broad range of theoretical and applied areas of mathematics. For this reason the editorial board is broadly based and submissions are accepted in most areas of mathematics.
In addition, the journal publishes specialized conference proceedings.
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