Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:inequality
|
| gptkbp:appliesTo |
gptkb:book_series
sequences |
| gptkbp:field |
gptkb:mathematics
analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Abel's inequality
|
| gptkbp:namedAfter |
gptkb:Niels_Henrik_Abel
|
| gptkbp:publishedIn |
19th century
|
| gptkbp:relatedTo |
summation by parts
|
| gptkbp:sentence |
If (a_n) is a sequence of real numbers and (b_n) is a monotonic sequence, then for any n, |Σ_{k=1}^n a_k b_k| ≤ max_{1≤m≤n} |Σ_{k=1}^m a_k| · (|b_1| + |b_n|)
|
| gptkbp:usedIn |
convergence tests
|
| gptkbp:bfsParent |
gptkb:Niels_Henrik_Abel
|
| gptkbp:bfsLayer |
5
|