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ArticleOriginal scientific text

Title

Abstract separation theorems of Rodé type and their applications

Authors 1, 2, 1

Affiliations

  1. Department of Mathematics, Technical University of Łódź, Branch in Bielsko-Biała, Willowa 2, 43-309 Bielsko-Biała, Poland
  2. Institute of Mathematics, L. Kossuth University, H-4010 Debrecen, Pf. 12, Hungary

Abstract

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

ENG
convex (midconvex), affine (Jensen) function, Rodé's theorem, separation theorem, subadditive, additive, sublinear, linear function

Bibliography

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Annales Polonici Mathematici
1999/72/3
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Pages:
207-217
Main language of publication
English
Received
1997-12-03
Accepted
1999-07-20
Published
1999
Exact and natural sciences