Abstract separation theorems of Rodé type and their applications
Annales Polonici Mathematici, Tome 72 (1999) no. 3, pp. 207-217
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.
Keywords:
convex (midconvex), affine (Jensen) function, Rodé's theorem, separation theorem, subadditive, additive, sublinear, linear function
@article{10_4064_ap_72_3_207_217,
author = {Kazimierz Nikodem and Zsolt P\'ales and Szymon W\k{a}sowicz},
title = {Abstract separation theorems of {Rod\'e} type and their applications},
journal = {Annales Polonici Mathematici},
pages = {207--217},
year = {1999},
volume = {72},
number = {3},
doi = {10.4064/ap-72-3-207-217},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-72-3-207-217/}
}
TY - JOUR AU - Kazimierz Nikodem AU - Zsolt Páles AU - Szymon Wąsowicz TI - Abstract separation theorems of Rodé type and their applications JO - Annales Polonici Mathematici PY - 1999 SP - 207 EP - 217 VL - 72 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4064/ap-72-3-207-217/ DO - 10.4064/ap-72-3-207-217 LA - en ID - 10_4064_ap_72_3_207_217 ER -
%0 Journal Article %A Kazimierz Nikodem %A Zsolt Páles %A Szymon Wąsowicz %T Abstract separation theorems of Rodé type and their applications %J Annales Polonici Mathematici %D 1999 %P 207-217 %V 72 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4064/ap-72-3-207-217/ %R 10.4064/ap-72-3-207-217 %G en %F 10_4064_ap_72_3_207_217
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
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