Prove the Abel-Dini theorem: for any sequence an 0 with a1 > 0, n=1 an n i=1 ai 2 Formulate and prove the variant of Lemma 23.3 by which the proof of Lemma 24.1 can be finished.


Prove the Abel-Dini theorem: for any sequence an ≥ 0 with a1 > 0,



∞ n=1 an n i=1 ai 2


Formulate and prove the variant of Lemma 23.3 by which the proof of Lemma 24.1 can be finished.



May 23, 2022
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