On Denjoy type extensions of the Pettis integral

Title:

On Denjoy type extensions of the Pettis integral

Creator:

Naralenkov, Kirill

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:2f2989b0-419f-47db-a228-ab2f5f8aa1f6
uuid:2f2989b0-419f-47db-a228-ab2f5f8aa1f6

Subject:

scalar derivative, approximate scalar derivative, absolute continuity, bounded variation, $VBG$ function, $ACG$ function, Pettis integral, and Denjoy-Pettis integral

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

737-750

Source:

Czechoslovak Mathematical Journal | 2010 Volume:60 | Number:3

Harvested from:

CDK

Metadata only:

false