Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
compact subsets of the complex plane with connected complement
|
| gptkbp:concerns |
polynomials
holomorphic functions uniform approximation |
| gptkbp:field |
complex analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Mergelyan's theorem
|
| gptkbp:namedAfter |
gptkb:Sergey_Mergelyan
|
| gptkbp:relatedTo |
gptkb:Runge's_theorem
gptkb:Weierstrass_approximation_theorem |
| gptkbp:sentence |
Every continuous function on a compact subset of the complex plane with connected complement, which is holomorphic in the interior, can be uniformly approximated by polynomials.
|
| gptkbp:yearProved |
1951
|
| gptkbp:bfsParent |
gptkb:Runge's_theorem
|
| gptkbp:bfsLayer |
6
|