Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:monotone_convergence_theorem
|
| gptkbp:appliesTo |
gptkb:Lebesgue_integral
|
| gptkbp:field |
measure theory
real analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Beppo Levi's theorem
|
| gptkbp:namedAfter |
gptkb:Beppo_Levi
|
| gptkbp:publishedIn |
gptkb:Annali_di_Matematica_Pura_ed_Applicata
|
| gptkbp:relatedTo |
gptkb:dominated_convergence_theorem
gptkb:Fatou's_lemma |
| gptkbp:state |
If a sequence of non-negative measurable functions increases pointwise to a limit, then the integral of the limit is the limit of the integrals.
|
| gptkbp:usedIn |
gptkb:probability_theory
functional analysis |
| gptkbp:year |
1906
|
| gptkbp:bfsParent |
gptkb:Monotone_convergence_theorem
|
| gptkbp:bfsLayer |
6
|