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arXiv:1911.08984 [math.CA]AbstractReferencesReviewsResources

Convexity properties of functions defined on metric Abelian groups

Włodzimierz Fechner, Zsolt Páles

Published 2019-11-20Version 1

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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