- Tytuł:
- On approximately Breckner s-convex functions
- Autorzy:
-
Burai, P.
Hazy, A.
Juhasz, T. - Powiązania:
- https://bibliotekanauki.pl/articles/205651.pdf
- Data publikacji:
- 2011
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
convexity
approximate convexity
s-convexity
regularity properties of generalized convex functions - Opis:
- The main goal of this paper is to consider the regularity and convexity properties of a given type of approximately generalized convex functions, namely approximately Breckner s-convex functions (see the origin of the definition in Breckner, 1978). Our main result is a Bernstein-Doetsch type one. It is proved that the local boundedness of such a type of function from above at a point of its domain implies approximate convexity and stronger regularity properties of the function in question on the whole domain.
- Źródło:
-
Control and Cybernetics; 2011, 40, 1; 91-99
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł