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Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:book_series
sequences |
| gptkbp:field |
gptkb:mathematics
analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Kronecker's lemma
|
| gptkbp:namedAfter |
gptkb:Leopold_Kronecker
|
| gptkbp:relatedTo |
gptkb:Toeplitz_lemma
summability theory |
| gptkbp:statedIn |
If (a_n) is a sequence of real numbers and (b_n) is a sequence of real numbers such that b_n is monotonic and tends to infinity, and if the series sum a_n / b_n converges, then (1/b_n) sum_{k=1}^n a_k tends to 0.
|
| gptkbp:usedIn |
gptkb:probability_theory
real analysis |
| gptkbp:bfsParent |
gptkb:Leopold_Kronecker
|
| gptkbp:bfsLayer |
4
|