{"title":"On a Mixed Arithmetic-Mean, Geometric-Mean, Harmonic-Mean Inequality","authors":"Kyumin Nam","doi":"10.14445/22315373/ijmtt-v69i5p507","DOIUrl":null,"url":null,"abstract":"- In 1992, F. Holland conjectured a mixed arithmetic-mean, geometric-mean inequality, and it was proved by K. Kedlaya in 1994. In this short communication, we provide more extended inequality: a mixed arithmetic-mean, geometric-mean, and harmonic-mean inequality.","PeriodicalId":231515,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mathematics Trends and Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14445/22315373/ijmtt-v69i5p507","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
- In 1992, F. Holland conjectured a mixed arithmetic-mean, geometric-mean inequality, and it was proved by K. Kedlaya in 1994. In this short communication, we provide more extended inequality: a mixed arithmetic-mean, geometric-mean, and harmonic-mean inequality.
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