Journal of Convex Analysis 31 (2024), No. 1, 297--304
Copyright Heldermann Verlag 2024
Jensen Convex Functions on Semigroups
Marcin Balcerowski
Sosnowiec, Poland
mabalcerowski@outlook.com
We transfer some results concerning Jensen convex functions defined on linear topological spaces to Jensen convex functions defined on semigroups. We also show that the Bernstein-Doetsch theorem fails in some class of topological semigroups.
Keywords: Jensen convex function, Jensen convex set, semigroup.
MSC: 26A51, 20M10.
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