Geodesic
Abstract separation theorems of Rodé type and their applications
Annales Polonici Mathematici, Tome 72 (1999) no. 3, pp. 207-217.

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Sufficient and necessary conditions are presented under which two given functions can be separated by a function Π-affine in Rodé sense (resp. Π-convex, Π-concave). As special cases several old and new separation theorems are obtained.
DOI : 10.4064/ap-72-3-207-217
Keywords: convex (midconvex), affine (Jensen) function, Rodé's theorem, separation theorem, subadditive, additive, sublinear, linear function

Kazimierz Nikodem 1 ; Zsolt Páles 1 ; Szymon Wąsowicz 1

1 
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Kazimierz Nikodem; Zsolt Páles; Szymon Wąsowicz. Abstract separation theorems of Rodé type and their applications. Annales Polonici Mathematici, Tome 72 (1999) no. 3, pp. 207-217. doi : 10.4064/ap-72-3-207-217. http://geodesic.mathdoc.fr/articles/10.4064/ap-72-3-207-217/

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