- Tytuł:
- A new characterizationof convex $\Phi$-functions with a parameter
- Autorzy:
- Micherda, B.
- Powiązania:
- https://bibliotekanauki.pl/articles/1397502.pdf
- Data publikacji:
- 2015
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
Orlicz-Musielak space
convex function
isotonic operator
projection operator
antiprojection operator - Opis:
- We show that, under some additional assumptions, all projection operators onto latticially closed subsets of the Orlicz-Musielak space generated by $\Phi$ are isotonic if and only if $\Phi$ is convex with respect to its second variable. A dual result of this type is also proven for antiprojections. This gives the positive answer to the problem presented in Opuscula Mathematica in 2012.
- Źródło:
-
Opuscula Mathematica; 2015, 35, 2; 191-197
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł