Statements (11)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:inequality
|
| gptkbp:appliesTo |
convex functions
|
| gptkbp:describes |
relationship between value of convex function at midpoint and average value over interval
|
| gptkbp:field |
mathematical analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hermite–Hadamard inequality
|
| gptkbp:namedAfter |
gptkb:Charles_Hermite
gptkb:Jacques_Hadamard |
| gptkbp:publishedIn |
1893
|
| gptkbp:sentence |
If f is convex on [a, b], then f((a+b)/2) ≤ (1/(b−a))∫ₐᵇ f(x)dx ≤ (f(a)+f(b))/2
|
| gptkbp:bfsParent |
gptkb:Charles_Hermite
|
| gptkbp:bfsLayer |
6
|