Kronecker's lemma

GPTKB entity

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