{"title":"Extension of a strong form of the three-dimensional Gaussian product inequality","authors":"Bara Kim , Jeongsim Kim","doi":"10.1016/j.spl.2024.110276","DOIUrl":null,"url":null,"abstract":"<div><p>We generalize a strong form of the three-dimensional Gaussian product inequality studied by Herry et al. (2024), who resolved the case of any triple of even positive integers. We extend the result to any triple consisting of a pair of positive real numbers and an even positive integer. Our result includes all existing results on the three-dimensional Gaussian product inequality conjecture.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0167715224002451/pdfft?md5=a8b31cd83eb2c899f4b3fa8fa028abdc&pid=1-s2.0-S0167715224002451-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167715224002451","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We generalize a strong form of the three-dimensional Gaussian product inequality studied by Herry et al. (2024), who resolved the case of any triple of even positive integers. We extend the result to any triple consisting of a pair of positive real numbers and an even positive integer. Our result includes all existing results on the three-dimensional Gaussian product inequality conjecture.
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