{"title":"Mean value theorems and convexity: An example of cross-fertilization of two mathematical items","authors":"J. Hiriart-Urruty","doi":"10.4171/em/406","DOIUrl":null,"url":null,"abstract":". With the help of two types of results, one for real-valued functions, the other one for vector-valued functions, we show how the classical mean value theorems (in an equality form) and the concept of convexity (for functions and for sets) are closely related.","PeriodicalId":41994,"journal":{"name":"Elemente der Mathematik","volume":"19 4","pages":""},"PeriodicalIF":0.1000,"publicationDate":"2020-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/em/406","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Elemente der Mathematik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4171/em/406","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
. With the help of two types of results, one for real-valued functions, the other one for vector-valued functions, we show how the classical mean value theorems (in an equality form) and the concept of convexity (for functions and for sets) are closely related.
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