- Tytuł:
- On the Fractional Pettis and Aumann-Pettis Integral for Multifunctions
- Autorzy:
-
Ibrahim, Ahmed-G.
Soliman, Asmaa M. - Powiązania:
- https://bibliotekanauki.pl/articles/746581.pdf
- Data publikacji:
- 2006
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
Measurable multifunction
Aumann integral
Aumann-Pettis integral
Fractional integral - Opis:
- Let \(\alpha\) be a positive real number. In the present paper we present the definition of the Aumann Pettis integral and the Pettis integral of order \(\alpha\) for multifunctions. The properties of these integrals and the relations between them are studied extensively. In particular, a Strassen type theorem in this case and continuation property are proved. Also, we give a version for Fatou's lemma and dominated convergence theorem for the Aumann-Pettis integral of order \(\alpha\) and for multifunctions.
- Źródło:
-
Commentationes Mathematicae; 2006, 46, 2
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł