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RSimmons
Posts:
20
From:
UK
Registered:
1/23/09


Other result on asymptotics
Posted:
Mar 12, 2009 6:19 AM


Hello! I need a result like this: if a_n decreases to zero and (a_n) sum_i=1^n x_i = o(1) as n > infinity then the series sum_i=1^infifinty (a_i) (x_i) converges. Anyone knows a reference? Otherwise, if this is false what are the conditions on a_n (or x_n) to turn it true?
Thanks, RSimmons



