Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
functional equation
|
| gptkbp:application |
characterization of linear functions
group homomorphisms |
| gptkbp:field |
gptkb:mathematics
functional analysis real analysis |
| gptkbp:form |
f(x+y) = f(x) + f(y)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cauchy functional equation
|
| gptkbp:namedAfter |
gptkb:Augustin-Louis_Cauchy
|
| gptkbp:property |
solutions can be pathological without regularity conditions
|
| gptkbp:relatedTo |
gptkb:Hamel_basis
gptkb:Jensen's_functional_equation additive functions |
| gptkbp:solvedBy |
f(x) = cx (for real numbers and under regularity conditions)
|
| gptkbp:studiedBy |
19th century
|
| gptkbp:bfsParent |
gptkb:Hyers–Ulam_stability
|
| gptkbp:bfsLayer |
6
|