Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
series of functions
|
| gptkbp:field |
mathematical analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Weierstrass M-test
|
| gptkbp:implies |
limit function is continuous if each f_n is continuous
|
| gptkbp:namedAfter |
gptkb:Karl_Weierstrass
|
| gptkbp:publishedIn |
19th century
|
| gptkbp:relatedTo |
convergence tests
uniform convergence series of functions |
| gptkbp:state |
If |f_n(x)| ≤ M_n for all x and all n, and ∑M_n converges, then ∑f_n(x) converges uniformly.
|
| gptkbp:usedFor |
proving uniform convergence
|
| gptkbp:bfsParent |
gptkb:Tannery's_theorem
gptkb:Infinity_Series |
| gptkbp:bfsLayer |
8
|