
Re: Help with an inequality
Posted:
Aug 1, 2007 12:53 PM


* coolzai2003@gmail.com > Hey all, > > I get the following problem. > > Given: > > 1) {ai},{bi},{xi} and {yi} are postive and their corresponding > infinite series converge. > > 2) sum{i=1,...,infinity}ai*xi=sum{i,...,infinity}bi*yi > > 3) for any n,m>=1, an<=bm > > Question: > > Does it always hold > sum{i=1,...,infinity}xi>=sum{i=1,...,inifinity}yi? > > I really appreciarte any of your comment.
Is this possible? According to (1), each sequence must approach zero. Therefore (3) cannot hold.
(Or am I missing something?)
 Jon Haugsand Dept. of Informatics, Univ. of Oslo, Norway, mailto:jonhaug@ifi.uio.no http://www.ifi.uio.no/~jonhaug/, Phone: +47 45 00 39 94

