{"title":"Some Inequalities for Power Means; a Problem from “The Logarithmic Mean Revisited”","authors":"G. Jameson","doi":"10.1080/00029890.2022.2153560","DOIUrl":null,"url":null,"abstract":"Abstract We establish some inequalities comparing power means of two numbers with combinations of the arithmetic and geometric means. A conjecture from [1] is confirmed.","PeriodicalId":7761,"journal":{"name":"American Mathematical Monthly","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2023-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"American Mathematical Monthly","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/00029890.2022.2153560","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Abstract We establish some inequalities comparing power means of two numbers with combinations of the arithmetic and geometric means. A conjecture from [1] is confirmed.
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