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arXiv · 1911.08984

Convexity properties of functions defined on metric Abelian groups

Włodzimierz Fechner·Zsolt Páles
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Abstract

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.

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Włodzimierz Fechner, Zsolt Páles. 2019-11-20. Convexity properties of functions defined on metric Abelian groups. https://doi.org/10.1007/s00010-020-00751-0

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