{"title":"\\(L_p\\)-Brunn–Minkowski inequality for projection bodies","authors":"W. D. Wang","doi":"10.1007/s10474-024-01468-1","DOIUrl":null,"url":null,"abstract":"<div><p>Lutwak established the Brunn–Minkowski inequality for projection\nbodies. Schuster [13] obtained the Brunn–Minkowski inequality for polar\nprojection bodies. Associated with the <span>\\(L_p\\)</span>-Minkowski combinations of convex\nbodies, we extend Lutwak's result and Schuster's result to <span>\\(L_p\\)</span> forms, respectively.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"174 1","pages":"192 - 201"},"PeriodicalIF":0.6000,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Hungarica","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10474-024-01468-1","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Lutwak established the Brunn–Minkowski inequality for projection
bodies. Schuster [13] obtained the Brunn–Minkowski inequality for polar
projection bodies. Associated with the \(L_p\)-Minkowski combinations of convex
bodies, we extend Lutwak's result and Schuster's result to \(L_p\) forms, respectively.
期刊介绍：
Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.
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