- Tytuł:
- On strongly midconvex functions
- Autorzy:
-
Azocar, A.
Gimenez, J.
Nikodem, K.
Sanchez, J. L. - Powiązania:
- https://bibliotekanauki.pl/articles/255623.pdf
- Data publikacji:
- 2011
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
strongly convex functions
strongly midconvex functions
Bernstein-Doetsch--type theorem
Kuhn theorem
Rode support theorem
Beckenbach convexity - Opis:
- In this paper we collect some properties of strongly midconvex functions. First, counterparts of the classical theorems of Bernstein-Doetsch, Ostrowski and Sierpiński are presented. A version of Rod é support theorem for strongly midconvex functions and a Kuhn-type result on the relation between strongly midconvex functions and strongly t-convex functions are obtained. Finally, a connection between strong midconvexity and generalized convexity in the sense of Beckenbach is established
- Źródło:
-
Opuscula Mathematica; 2011, 31, 1; 15-26
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł