Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:inequality
|
| gptkbp:appliesTo |
positive real numbers
|
| gptkbp:equalityHoldsWhen |
a = b = c
|
| gptkbp:field |
gptkb:algebra
gptkb:mathematics inequality theory |
| gptkbp:firstPublished |
1932
|
| gptkbp:form |
For positive real numbers a, b, c: (a/(b+c)) + (b/(c+a)) + (c/(a+b)) ≥ 3/2
|
| https://www.w3.org/2000/01/rdf-schema#label |
Nesbitt's inequality
|
| gptkbp:namedAfter |
gptkb:Alexander_Nesbitt
|
| gptkbp:relatedTo |
gptkb:AM-GM_inequality
cyclic sum |
| gptkbp:usedIn |
gptkb:mathematical_olympiads
|
| gptkbp:bfsParent |
gptkb:Cecil_Nesbitt
gptkb:Schur's_inequality |
| gptkbp:bfsLayer |
7
|