- Tytuł:
- On Korenblum convex functions
- Autorzy:
-
Lopez, Lorena Maria
Ereú, Jurancy
Merentes, Nelson - Powiązania:
- https://bibliotekanauki.pl/articles/960142.pdf
- Data publikacji:
- 2017
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
Convex function
generalized convexity
k-entropy - Opis:
- We introduce a new class of generalized convex functions called the κ-convex functions, based on Korenblum's concept of κ-decreasing functions, where κ is an entropy (distortion) function. We study continuity and differentiability properties of these functions, and we discuss a special subclass which is a counterpart of the class of so-called d.c. functions. We characterize this subclass in terms of the space of functions of bounded second κ-variation, extending a result of F. Riesz. We also present a formal structural decomposition result for the κ-convex functions.
- Źródło:
-
Commentationes Mathematicae; 2017, 57, 1
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł