dominated convergence theorem

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo gptkb:Lebesgue_integral
gptkbp:field mathematical analysis
measure theory
integration theory
https://www.w3.org/2000/01/rdf-schema#label dominated convergence theorem
gptkbp:namedAfter gptkb:Henri_Lebesgue
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:Fatou's_lemma
gptkbp:bfsLayer 6