{"title":"On the Heinz mean in multiple variables","authors":"Mustapha Raïssouli, Mohamed Chergui","doi":"10.1007/s44146-022-00054-7","DOIUrl":null,"url":null,"abstract":"<div><p>The fundamental goal of the present paper is to investigate\nan extension of the so-called Heinz mean of two arguments for three or\nmore variables. We also establish that this multivariate mean interpolates\nthe geometric mean and arithmetic mean in multiple variables. Some\ninequalities involving this new mean are discussed as well.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"88 3-4","pages":"797 - 806"},"PeriodicalIF":0.6000,"publicationDate":"2022-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s44146-022-00054-7.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACTA SCIENTIARUM MATHEMATICARUM","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s44146-022-00054-7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The fundamental goal of the present paper is to investigate
an extension of the so-called Heinz mean of two arguments for three or
more variables. We also establish that this multivariate mean interpolates
the geometric mean and arithmetic mean in multiple variables. Some
inequalities involving this new mean are discussed as well.
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