Dominated convergence theorem
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Lebesgue's_dominated_convergence_theorem
|
| gptkbp:appliesTo |
Lebesgue integrals
|
| gptkbp:field |
mathematical analysis
measure theory integration theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Dominated convergence theorem
|
| gptkbp:introducedIn |
1904
|
| gptkbp:namedAfter |
gptkb:Henri_Lebesgue
|
| gptkbp:publishedIn |
gptkb:Annales_de_la_Faculté_des_Sciences_de_Toulouse
|
| gptkbp:relatedTo |
gptkb:monotone_convergence_theorem
gptkb:Fatou's_lemma |
| gptkbp:state |
If a sequence of measurable functions converges pointwise and is dominated by an integrable function, then the limit function is integrable and the integral of the limit is the limit of the integrals.
|
| gptkbp:usedIn |
gptkb:probability_theory
functional analysis statistics |
| gptkbp:bfsParent |
gptkb:Measure_Theory
|
| gptkbp:bfsLayer |
5
|