Pettis Integral

Musiał, Kazimierz

doi:10.1016/b978-044450263-6/50013-0

Search citation statements

Order By: Relevance

Paper Sections

Select...

Replacing the Last Inequality With1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2011

2023

Publication Types

Select...

Article5

Book1

Relationship

Self Cite0

Independent6

Authors

Journals

Cited by 24 publications

(1 citation statement)

References 88 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The vector ν(E) is then called the Pettis integral of f over E and we set ν(E) = (P ) E f dλ. We refer to [3], [17]- [19], [22] and [2] for Pettis integral.…”

Section: Replacing the Last Inequality Withmentioning

confidence: 99%

Some remarks on descriptive characterizations of the strong McShane integral

Kaliaj¹

2018

Math.Boh.

View full text Add to dashboard Cite

We present the full descriptive characterizations of the strong McShane integral (or the variational McShane integral) of a Banach space valued function f : W → X defined on a non-degenerate closed subinterval W of R m in terms of strong absolute continuity or, equivalently, in terms of McShane variational measure V M F generated by the primitive F : I W → X of f , where I W is the family of all closed non-degenerate subintervals of W .

show abstract

“…The vector ν(E) is then called the Pettis integral of f over E and we set ν(E) = (P ) E f dλ. We refer to [3], [17]- [19], [22] and [2] for Pettis integral.…”

Section: Replacing the Last Inequality Withmentioning

confidence: 99%