Abstract separation theorems of Rodé type and their applications

• Autorzy: Kazimierz Nikodem , Zsolt Páles , Szymon Wąsowicz
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1999
• Tom: 72
• Numer: 3
• Strony: 207-217

Daty

wydano

1999

otrzymano

1997-12-03

poprawiono

1999-07-20

Twórcy

autor

Kazimierz Nikodem

• Department of Mathematics, Technical University of Łódź, Branch in Bielsko-Biała, Willowa 2, 43-309 Bielsko-Biała, Poland

autor

Zsolt Páles

• Institute of Mathematics, L. Kossuth University, H-4010 Debrecen, Pf. 12, Hungary

autor

Szymon Wąsowicz

• Department of Mathematics, Technical University of Łódź, Branch in Bielsko-Biała, Willowa 2, 43-309 Bielsko-Biała, Poland

Bibliografia

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