1. On Denjoy type extensions of the Pettis integral
- Creator:
- Naralenkov, Kirill
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- scalar derivative, approximate scalar derivative, absolute continuity, bounded variation, $VBG$ function, $ACG$ function, Pettis integral, and Denjoy-Pettis integral
- Language:
- English
- Description:
- In this paper two Denjoy type extensions of the Pettis integral are defined and studied. These integrals are shown to extend the Pettis integral in a natural way analogous to that in which the Denjoy integrals extend the Lebesgue integral for real-valued functions. The connection between some Denjoy type extensions of the Pettis integral is examined.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public