{"title":"The Extrema of \\(q\\)- and Dual \\(q\\)-Quermassintegrals for the Asymmetric \\(L_p\\)-Difference Bodies","authors":"Weidong Wang, Hui Xue","doi":"10.1134/S0016266324030018","DOIUrl":null,"url":null,"abstract":"<p> Wang and Ma introduced the notion of asymmetric <span>\\(L_p\\)</span>-difference bodies. They further gave the extrema of volumes for the asymmetric <span>\\(L_p\\)</span>-difference body and its polar. Thereafter, Shi and Wang obtained their versions of quermassintegrals and dual quermassintegrals. In this paper, we determine the extrema of the <span>\\(q\\)</span>-quermassintegrals and dual <span>\\(q\\)</span>-quermassintegrals for the asymmetric <span>\\(L_p\\)</span>-difference bodies. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2024-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Functional Analysis and Its Applications","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1134/S0016266324030018","RegionNum":4,"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
Wang and Ma introduced the notion of asymmetric \(L_p\)-difference bodies. They further gave the extrema of volumes for the asymmetric \(L_p\)-difference body and its polar. Thereafter, Shi and Wang obtained their versions of quermassintegrals and dual quermassintegrals. In this paper, we determine the extrema of the \(q\)-quermassintegrals and dual \(q\)-quermassintegrals for the asymmetric \(L_p\)-difference bodies.
期刊介绍：
Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
