- Tytuł:
- A characterization of convex φ-functions
- Autorzy:
- Micherda, B.
- Powiązania:
- https://bibliotekanauki.pl/articles/255999.pdf
- Data publikacji:
- 2012
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
inequalities
modulars
Orlicz-Musielak spaces
convexity
isotonicity
projections
antiprojections - Opis:
- The properties of four elements (LPFE) and (UPFE), introduced by Isac and Persson, have been recently examined in Hilbert spaces, Lp-spaces and modular spaces. In this paper we prove a new theorem showing that a modular of form ρφ(∫)= ∫ Ω φ (t,/∫(t)/)dμ(t) satisfies both (LPFE) and (UPFE) if and only if φ is convex with respect to its second variable. A connection of this result with the study of projections and antiprojections onto latticially closed subsets of the modular space Lφ is also discussed.
- Źródło:
-
Opuscula Mathematica; 2012, 32, 1; 171-178
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł