{"title":"关于混合算术均值、几何均值、调和均值不等式","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":"{\"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}","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}
On a Mixed Arithmetic-Mean, Geometric-Mean, Harmonic-Mean Inequality
- 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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