Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Lebesgue integrals
product measure spaces |
| gptkbp:describes |
conditions for evaluating double integrals as iterated integrals
|
| gptkbp:field |
gptkb:mathematics
measure theory integration theory |
| gptkbp:generalizes |
iterated integrals for continuous functions on rectangles
|
| https://www.w3.org/2000/01/rdf-schema#label |
Fubini's theorem
|
| gptkbp:implies |
order of integration does not affect the value of the integral under certain conditions
|
| gptkbp:namedAfter |
gptkb:Guido_Fubini
|
| gptkbp:publicationYear |
1907
|
| gptkbp:publishedIn |
gptkb:Annali_di_Matematica_Pura_ed_Applicata
|
| gptkbp:relatedTo |
gptkb:Tonelli's_theorem
|
| gptkbp:requires |
integrability of the function on the product space
|
| gptkbp:state |
If a function is integrable on the product of two measure spaces, the order of integration can be interchanged
|
| gptkbp:usedIn |
gptkb:probability_theory
functional analysis mathematical physics partial differential equations |
| gptkbp:bfsParent |
gptkb:Measure_Theory
|
| gptkbp:bfsLayer |
5
|