{"title":"The Blaschke–Santaló inequality for the normalized Lp Busemann body","authors":"Xiyu Niu , Ai-Jun Li , Qingzhong Huang","doi":"10.1016/j.jmaa.2025.129299","DOIUrl":null,"url":null,"abstract":"<div><div>The main purpose of this paper is to establish the Blaschke–Santaló inequality for the normalized <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msub></math></span> Busemann body. The approach we take is from the functional point of view. By applying the functional <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msub></math></span>-Busemann random simplex inequality due to Dann et al. (2016), we establish the Blaschke–Santaló inequality for the functional <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msub></math></span> Busemann body and corresponding moment-entropy inequalities.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"547 1","pages":"Article 129299"},"PeriodicalIF":1.2000,"publicationDate":"2025-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X25000800","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The main purpose of this paper is to establish the Blaschke–Santaló inequality for the normalized Busemann body. The approach we take is from the functional point of view. By applying the functional -Busemann random simplex inequality due to Dann et al. (2016), we establish the Blaschke–Santaló inequality for the functional Busemann body and corresponding moment-entropy inequalities.
期刊介绍：
The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions.
Papers are sought which employ one or more of the following areas of classical analysis:
• Analytic number theory
• Functional analysis and operator theory
• Real and harmonic analysis
• Complex analysis
• Numerical analysis
• Applied mathematics
• Partial differential equations
• Dynamical systems
• Control and Optimization
• Probability
• Mathematical biology
• Combinatorics
• Mathematical 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
