Levi's monotone convergence theorem
GPTKB entity
Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:monotone_convergence_theorem
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| gptkbp:appliesTo |
gptkb:Lebesgue_integral
|
| gptkbp:field |
measure theory
real analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Levi's monotone convergence theorem
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| gptkbp:namedAfter |
gptkb:Beppo_Levi
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| 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:yearProposed |
1906
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| gptkbp:bfsParent |
gptkb:Beppo_Levi
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| gptkbp:bfsLayer |
7
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