Jensen Convex Functions on Semigroups
Journal of convex analysis, Tome 31 (2024) no. 1, pp. 297-304
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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.
Classification : 26A51, 20M10
Mots-clés : Jensen convex function, Jensen convex set, semigroup
@article{JCA_2024_31_1_JCA_2024_31_1_a18,
     author = {M. Balcerowski},
     title = {Jensen {Convex} {Functions} on {Semigroups}},
     journal = {Journal of convex analysis},
     pages = {297--304},
     year = {2024},
     volume = {31},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2024_31_1_JCA_2024_31_1_a18/}
}
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M. Balcerowski. Jensen Convex Functions on Semigroups. Journal of convex analysis, Tome 31 (2024) no. 1, pp. 297-304. http://geodesic.mathdoc.fr/item/JCA_2024_31_1_JCA_2024_31_1_a18/