Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
measurable functions
real-valued functions |
| gptkbp:category |
integration theory
|
| gptkbp:defines |
measure induced by a function
|
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:generalizes |
gptkb:Lebesgue_integral
gptkb:Riemann–Stieltjes_integral |
| gptkbp:hasSpecialCase |
gptkb:Lebesgue_integral
|
| gptkbp:hasSubfield |
measure theory
real analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Lebesgue–Stieltjes integral
|
| gptkbp:introducedIn |
early 20th century
|
| gptkbp:namedAfter |
gptkb:Thomas_Joannes_Stieltjes
gptkb:Henri_Lebesgue |
| gptkbp:notation |
∫ f(x) dG(x)
|
| gptkbp:relatedTo |
gptkb:probability_theory
distribution functions |
| gptkbp:usedFor |
integration with respect to functions of bounded variation
|
| gptkbp:usedIn |
functional analysis
probability distributions |
| gptkbp:bfsParent |
gptkb:Riemann–Stieltjes_integral
|
| gptkbp:bfsLayer |
6
|