Mean value theorems and convexity: An example of cross-fertilization of two mathematical items

IF 0.1 Q4 MATHEMATICS Elemente der Mathematik Pub Date : 2020-04-08 DOI:10.4171/em/406
J. Hiriart-Urruty
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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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中值定理和凸性:两个数学项目相互作用的一个例子
. 借助两种类型的结果,一种是实值函数,另一种是向量值函数,我们展示了经典的中值定理(以等式形式)和凸性概念(对于函数和集合)是如何密切相关的。
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