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Convexity properties of functions defined on metric Abelian groups
Aequationes Mathematicae ( IF 0.9 ) Pub Date : 2020-08-25 , DOI: 10.1007/s00010-020-00751-0
Włodzimierz Fechner , Zsolt Páles

The notions of quasiconvexity, Wright convexity and convexity for functions defined on a metric Abelian group are introduced. Various characterizations of such functions, the structural properties of the functions classes so obtained are established and several well-known results are extended to this new setting.



中文翻译:

在度量阿贝尔群上定义的函数的凸性

介绍了在度量阿贝尔群上定义的函数的拟凸,怀特凸和凸的概念。建立了此类功能的各种特性,所获得的功能类别的结构特性,并将一些众所周知的结果扩展到了这一新设置。

更新日期:2020-08-26
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