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Convexity properties of functions defined on metric Abelian groups

Wlodzimierz, Fechner and Páles, Zsolt (2021) Convexity properties of functions defined on metric Abelian groups. AEQUATIONES MATHEMATICAE, 95 (3). pp. 449-481. ISSN 0001-9054

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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.

Item Type: Article
Uncontrolled Keywords: convex function; Quasiconvex function; Metric Abelian group; Wright convex function;
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 09 Jan 2023 11:23
Last Modified: 09 Jan 2023 11:23
URI: http://real.mtak.hu/id/eprint/156228

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